They already try to do that. Hell some have even gone as far as to remove chrome, and install their own "infected" chromium compiled with their extension whitel

They already try to do that. Hell some have even gone as far as to remove chrome, and install their own "infected" chromium compiled with their extension whitelisted and updates disabled. It's terrifying. And while you could make a case for this "not being chrome's problem", the fact is that it's really hurting their user base, so they can't not do something about it.