This is by far the wisest route on the issue. I would just add that you "could" notify your legal department of it and leave it to them to handle. It is their responsbility to deal with legal issues of all kinds. For your part you just need to make a reasonable attempt to resolve the situation through your appropriate chain of command. If they arean't interested document your findings and move on.
If you bring this up and the BSA comes callign when managment doesn't act your almost garanteed to experiance some kind of retaliation.
As someone who works with Asset software i garantee the effort of cleaning up your asset's and tracking everything is well worth it. You could always pitch the cost savings of such a system by reducing waste and overpurchasing.
If it has syntax, it isn't user friendly.