The 'Affero GPL' -- which is intended to close the software-as-a-service 'hole' -- as thus it is used by noone, and promoted only by the nuttiest faction of the FSF.
As barely realistic as complying with / enforcing the GPL's terms are (especially in v3), it's nothing compared to the fantasy-land that is the AGPL. The GPL at least has copyright law to piggyback off of / fall back to -- The AGPL is just a shitty EULA!
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.
