On one hand, the Packers NEED Safety depth... Burnett (even older Burnett) would do a GREAT job in helping that safety depth at SS, nickel and dime
Also that verstility could give Pettine a lot of creative options in different calls to create better matchup, especially when you also consider Pettine can also blitz him.
(And my personal plug that might free up Jones to move to coverage ILBer which I think is a better fit for him, but don't think they'll move him).That being said, on the other hand, Burnett wasn't happy as the #2 SS and in the dime role... and if he were returning it might be to that #2 SS/dime role (of course maybe nickel starter role and that might solve that, but he'll be competing with the #3 CB for that). And if Amos can play FS (I'm not sure he can), then Burnett to SS and free up Williams for the nickel or at least rotating them and trying to confuse the QB.
And it wasn't that long ago that Burnett was said to be a leader with the Packers, and I'm not sure you want an upset guy that's looked upon as a leader.
Overall I'd be willing to sign him, though maybe after making sure he's not going to be pissed as a #2 SS that he might have to get playing time via other positions (ie nickel/dime).