I think that if this was done, there'd be a surge of blog posts not long after telling people to just use the original verbs, because everything about them - caching, idempotence, safeness, etc. - is a known quantity and doesn't change based on different interpretations of the same verb. Not to mention ridiculously confusing APIs.

    TWEET /
    GOOGLE /internet/?query=...
    LIKE /friend/jimmy
    GETPUTPOSTDELETE /i-am-too-lazy-to-use-separate-verbs