If you work almost all day at a computer and have little more desired/needed interaction with people than you could comfortably do by phone or online then why the hell are you being required to commute in the first place? That is the most important question.
Next, the price of public transit is not the issue. Not being able to get around on my own schedule is an issue. And in my case I have a handicap which while not quite bad enough to put me in a wheelchair does preclude standing around waiting for transport or walking much at all at the endpoints.
Third, public transit is only per passenger/mile economical when nearly full. To satisfy more flexible schedule it has to run a great deal of the time at far less than its environment and $$ cost break even point.
So no, I wouldn't take it, generally speaking, even if it was free.
Now if we had self driving little pods that would optionally join/leave trains of such when optimal for the journey then I could see the point modulo the first and most important question of whether the trip makes any real sense in the first place.