No, because YouTube is a brand name that competes successfully on its own. There's nothing they could name it that would have better name recognition than YouTube already does.
No. Blogger has a generic stigma. You say the word blogger all the time, but rarely do you actually think of blogger.com. Actually, I never think of blogger.com. And we're talking about brand power/brand recognition, not how popular the sites are.
YouTube certainly has a stronger brand but when blogger is referenced I only see it either referring to a person who blogs or Blogger and the two are pretty easy to differentiate. E.g. "a blogger", "the blogger" refer to a person blogging vs "on blogger", "with blogger" that refer to blogger.com.
