The "benefit" can't be something that exists separately from the Fifth Amendment right against self-incrimination. I've had it suggested to me that without the Fifth Amendment, the police would just beat people into confessing. But of course the right not to be beaten by the police is separate from the right to remain silent.
I call fail on this argument. Of course the right to not be beaten by the police exists as a separate right. Now how do you enforce it?
"Your honour, I was told I would be beaten until I testified against myself."
"Those are serious allegations. And yet, these 5 fine police officers all testify that you banged your own head against the wall repeatedly in an attempt to make it look like you were mistreated. Please continue with your testimony. And remember, you can be imprisoned for contempt if you fail to answer the questions of this court to its satisfaction."
The right to not be forced to testify against yourself helps protects the innocent from police looking for a quick conviction rather than the correct one, and using any means to get it. The power of the court to compel testimony is very powerful, and needs counterweights to help prevent its abuse.
It also protects society from having guilty men go free because an innocent person was convicted in their place. If you cannot be forced to testify against yourself in court, then it removes a lot of the incentive to compel false testimony against someone's will. They go to court, refuse to confess, and instead of going back to jail for contempt, they walk free as there is no other evidence against them - and are no longer at risk of torture, as they are no longer in custody.
If an inference of guilt can be drawn from silence, then the right to remain silent is pointless - refuse to confess to these trumped up charges? Then go to jail anyway because we've decided your silence makes you guilty. The state is a powerful actor, with many resources. Requiring them to provide evidence - literally, that which is seen - of guilt prevents the state from simply offering innocent people this choice:
a) confess to this crime and go to prison
b) refuse to confess to this crime and go to prison for refusing to confess.
The right to not be considered guilty merely because you stay silent is only part of the counterweight against the state imprisoning the innocent, but it's an important one. This is not a theoretical - there have been abuses in the absence of it.
Lilburne was arrested upon information by an informer acting for The Stationers' Company and brought before the Court of Star Chamber. Instead of being charged with an offence he was asked how he pleaded. In his examinations he refused to take the oath known as the 'ex-officio' oath (on the ground that he was not bound to incriminate himself), and thus called in question the court's usual procedure. As he persisted in his contumacy, he was sentenced (13 February 1638) to be fined £500, whipped, pilloried, and imprisoned till he obeyed.
On 18 April 1638 Lilburne was flogged with a three-thonged whip on his bare back, as he was dragged by his hands tied to the rear of an ox cart from Fleet Prison to the pillory at Westminster. He was then forced to stoop in the pillory where he still managed to campaign against his censors, while distributing more unlicensed literature to the crowds. He was then gagged. Finally he was thrown in prison. He was taken back to the court and again imprisoned. During his imprisonment in Fleet he was cruelly treated. While in prison he however managed to write and to get printed in 1638 an account of his own punishment styled The Work of the Beast and in 1639 an apology for separation from the church of England, entitled Come out of her, my people.
That was the first in a long series of trials that lasted throughout his life for what John Lilburne called his "freeborn rights". As a result of these trials a growing number of supporters began to call him "Freeborn John" and they even struck a medal in his honour to that effect. It is this trial that has been cited by constitutional jurists and scholars in the United States of America as being one of the historical foundations of the Fifth Amendment to the United States Constitution. It is also cited within the 1966 majority opinion of Miranda v. Arizona by the U.S. Supreme Court.
There are a number of other examples of the Star Chamber being used to convict and punish men who protested against the Church and State power of failing to confess to trumped up charges. It was a handy way to punish the inconvenient.
It's not hard to find current examples of innocent people imprisoned because of a browbeaten or tricked confession, then later freed by DNA evidence proving their innocence. Without the right to remain silent and not have it taken as evidence of guilt, that number would be far higher.
Here's another example. A case is based on circumstantial evidence against a wealthy man. He pays someone to testify that they committed the crime. If they can be convicted for staying silent, then once before the court, they either confess and go to jail, or stay silent and go to jail. They can testify that they were bribed, but may well not be believed and sent to jail anyway. If the guilty man is wealthy enough, he can buy a dozen people to testify of their guilt, and create doubt and confusion.
With the right to remain silent, the paid self-incriminator goes on the stand, stays silent, and goes home as there's no evidence against them, and keeps the money!
Now, we don't have to care about whether someone desperate or stupid enough to commit false testimony goes to jail - the important point is that with the right to remain silent, then it makes it impractical for the wealthy to buy their way out of jailtime as anyone they pay to testify of their guilt can keep their mouth shut and walk away with the money. So there goes the incentive for the wealthy to try and buy testimony.