Indeed. Hot break (and cold break) is stuff you want to coagulate and remove from your beer.
The foam that kicks up in the boil is just that, foam, which you do not want to remove from your beer.
The thing with the proteins that make up beer foam is that they only get to form foam once. So foam at the start of the boil is potential foam lost from your beer. Likewise foam during transfers, aeration, fermentation, packaging, and so on. So any chance you have to avoid a lot of foam means better head on the beer. Use of anti foam (Fermcap S) in the boil and elsewhere is a common commercial practice homebrewers for some reason rarely take advantage of.