Can I ask for elaboration? In the context of GPL and free software licenses in general, "strong" and "encumbered" tend to refer to roughly the same thing, i.e. conditions requiring that the work and derivative works to be also distributed as free software.

Nothing in the license text of GPLv3 or GPLv2 reads to me like deliberate distancing from communism or anything else other than nonfree software. Do you have a different interpretation of the text or are you basing the claim on something else? Sure, RMS is not a socialist nor is the FSF a socialist organization, but I'm not aware of them "going far out of their way" to disproportionately emphasize the GPL's noncommunism. OSI and ESR arguably have, given their more corporate focus and particularly ESR's far right views. You also have to take into account that associating free software in general and GPL in particular with communism has been a deliberate smear tactic against them, so a lot of the ink spilled about the un-commieness of the GPL has been in response to its equally or more anti-communist opponents.

Designing a truly communist software license that still makes sense in the capitalist context of international copyright law seems like an interesting exercise. I like that the GPL has a whole preamble to explain the intent and values behind its terms, and that it manages to essentially invert what would normally be an exclusive privilege granted by copyright into a communal obligation enforced via the same. A communist equivalent would be something like exploiting property rights to ensure that some capital asset remains de facto collectively owned.

I think the (A)GPL manages to implement some radical and admirable principles while acknowledging that we live in a society [bottom text]. Even if the software licensing interests of some libertarian pedophiles happen to sometimes align with mine and what I consider the common good, they don't get to claim the license as theirs any more that I get to declare it to support my ideology.