Hello, interesting question. Depends on many different factors, but mostly the stage of tournament, profile of the villain and villains stack size.
If we are getting close to the bubble and villain is short stack, I would 4-bet shove. There is still the chance he might have been just squeezing or trying to steal the pot pre-flop. Many players tend to fold to 4-bet at micro stakes.
If he is not just squeezing, we still get the positive EV because there are only the pocket pairs which got you beat at this point, but you are in a coinflip against most of them (expect AA and KK, to which you hold the blockers).
Also, the play depends on he size of his 3-bet.
1) When OOP with 60 BB
If we are last to act pre flop, I would definitely 4-bet. If we are last to act and the villain is short, I would 4-bet shove. If we are getting close to the bubble and he has big stack, I would slightly 4-bet.
2) When OOP with 25BB
A bit harder decision. Again, depends if we are close to the bubble, and on villains style of play, but I would most likely 4-bet shove.
3) When IP with 60BB
Again, simple 4-bet, maybe a bit higher than usual, to isolate. IF you completely miss the flop and face aggression, you can still fold. You are not short so those few BB do not matter to you so much I guess. But from my experience, when I am IP and 4-bet pre-flop and get called, most of the time the caller just checks the board on the flop, especially if he missed.
4) When IP with 25 BB
Again, 4-bet. If the stacks behind you are significantly higher I would maybe shove. All depends on your profile at the table. If you have been playing really aggressively (thats what you should do
) then you can definitely 4-bet shove this. Yes, there are going to be times where you will get called by pocket pairs and eventually loose the flip, but what ever, that is the spot where you probably must do this. It happens. And it happens especially online. But thats okay
PS: Yeah, maybe the all time 4-bet is too aggressive for somebody, but thats just my style of play. Most of the time the aggressive play earns you nice chunk of chips. And I think this is definitely the spot where you should aggro!