I don't see how this compares to Yahoo, as Mozilla hasn't been a very strong brand to start with (as opposed to Firefox). I think the idea is to try to better establish it as a geeky brand next to the more consumer-oriented Firefox.
Also, in case you're referring to the Yahoo -> Altaba rebrand rather than a former Yahoo logo change: Mozilla is keeping its name. This is just about the logo.
Also, in case you're referring to the Yahoo -> Altaba rebrand rather than a former Yahoo logo change: Mozilla is keeping its name. This is just about the logo.