Technically the puppetmaster like enemies of RE4 and 5 ARE zombies. They just have higher cognitive functioning, and are controlled through a hivemind mentality. It's just a matter of personal preference as to which zombie you like.
Zombies... it's just a general name for that basic "human-figured" enemy from all re's. (zombie, ganado, majini) Or at least the way I see it. And I think either name works; the RE title has grown to be fitting (since years ago of course) but Biohazard would've worked. If it weren't for that stupid band and their *****ing.
2012 - Capcom made me a happy Steve. I owe you one!! - http://tinyurl.com/bsaajeeeeell