Nothing definite, no.
I can say for sure that I have never captured an SW in an AI town while playing unmodded C3C. But all SWs in unmodded C3C provide Culture, so I don't know if it's possible to capture a non-Cultural SW (though also not sure if the AI would even bother
building such an SW).
BUT
While play-testing
@haluu's Tides of Crimson fantasy mod, I/we discovered that there is
definitely a wrinkle regarding
Gov-specific SWs, which can be captured under certain circumstances, even if they produce Culture, and the conquering Civ has already built that SW itself. As far as we can tell, it works like this:
CivA and CivB both choose Gov1, and build Gov1's SW in TownA and TownB, respectively.
Later, CivB switches to Gov2, resulting in the loss of the Gov1 SW's effect(s) in TownB, and its 'disappearance' from the city-view. However, the SW is actually still there.
In the meantime, CivA stays in Gov1, and later captures TownB. Since CivB has not switched Govs, the Gov1-SW built by CivA 'reappears', and reactivates.
This can be repeated across the map, as CivA captures Towns C, D, E, F... -- resulting in CivA owning 2 (or more!) copies of the Gov1-SW.
In theory this should also apply with respect to the Communism-specific SPHQ in unmodded C3C -- but I don't remember ever having seen anyone reporting this bug(?) -- likely because to see it happening in-game would require the human player to go Commie and build their SPHQ in the first place...