It's being done somewhat, and either as a mild prophylactic treatment or a diagnostic (like for flukes or isopods) it could be helpful, but it's not something that is a great blanket every-case (as so little is.)
I don't think a half hour dip will eliminate all that many issues, though it may alleviate some and may prevent very early infections from taking hold (though you probably wouldn't see signs of them beforehand), and this is probably common to most short term non-QT dips, including for corals. It can offer some help and maybe a step up above infections, can perhaps make issues more visible in certain cases, and generally shouldn't be harmful to much, but do not confuse this with eliminating problems or diseases.
I think H2O2 dips are generally fairly mild when compared to other handling stresses, but it may be that for particularly sick, tired, or injured fish it could exacerbate the existing issue.
Here's a rundown of some testing on fish it's been used for and a basic methodology:
https://humble.fish/community/index.php?threads/fish-peroxide-compatibility-list.1789/
Worth mentioning that especially for smaller fish, a QT tank doesn't need to be big. A bucket will do for small fish - though it makes it harder to observe them, the dark sides may actually slightly lessen initial introduction stress.