[Dire]

I think the word 'standard' is kind of confusing here. If by standard you mean readless, then I think folding to the 4-bet is proper at stakes < $400 and maybe even at $400. Most people are just nits or fish, both of whom are basically never 4-betting remotely light. And even if villain is a good player who can have more than KK/AA/AK in his range here, against an unknown (hero) he probably will still just be 4-betting monsters for the most part.

By the other meaning of standard, a common situation against a reasonable, but not outstanding, opponent - I completely agree with shoving preflop here assuming your own image is decent / not nitty. Just a matter of semantics I suppose.