I could dig up a couple of hands where I 5b shoved 88-JJ and got called with smaller pairs, Ax... mostly HU or 3 handed, but it's definitely not like you're never getting called... if folding is bad given the dynamic, and calling oop sucks and you're ahead enough of his range, I would consider value shoving those.

But I'm just lazy... if I have a smart aggressive player who is capable of 4b bluffing a reasonable frequency then I would just leave. Unless there's a huge fish at the table that makes it worth it, but then I'd just 3b less and hope he makes a mistake by looking at my stats and not realizing I'm not 3-betting with the same frequency against him.

And then there's the sick amount of variance it creates. It's a game of small enough edges as it is... Your willingness to get into 4b/5b wars levels the playing field against players who would otherwise make tons of mistakes postflop that you could exploit. I usually just counter it by tightening my opening range when I'm oop against them, and being more willing to call with hands that I would normally 3bet from the blinds or in position.
If you create a filter in HEM with 'did 5b'=true and Hand value <88, <AK and you show a profit, I'd be surprised.
The only benefit I can see is that they might stop 4-betting you light and it makes your life easier... but then how many players ever really adjust to anyone... ever?