It's true that GPLv3, the original AGPL, and AGPLv3 are not as well tested in court as GPLv2. However, they do not depend on "clickwrap" contracts, as your profane comment appears to imply; they are written solely as unilateral copyright licenses, not contracts ("agreements", which is what the "A" in "EULA" stands for). It's possible that a court might invalidate them, but they are grounded in the exclusive rights reserved to authors under regular copyright law.

The AGPL is not as popular as the standard GPL, partly because it's somewhat new. Laconica is probably the most popular piece of software that uses it.

I don't think the FSF really has factions. People who disagree with Richard tend to just leave.