No.
While a decent amount of the current usage of leisure=bathing_place is in Sweden (the other larger concentration being in northeast Germany), it actually isn’t the one mostly used (at least based on a rough approximation based on overpass results) (overpass turbo). Even in Sweden leisure=swimming_area seems more common, as well as a much-larger-than-realistic number of amenity=public_bath (I’d be surprised if there’d be even a dozen places actually fitting that description here). But this inconsistency is why I (on behalf of the Swedish forum) started this thread (see here for some context in Swedish).
As I see it, this trio of tags is used inconsistently outside Sweden as well, and in particular, the current most used tag of them (leisure=swimming_area) is almost universally used in conflict with its definition on the wiki (another approach could have been to deprecate leisure=bathing_place and change the definition of leisure=swimming_area, but no one here has proposed that so far, and personally I think that the result would be worse).
A majority of the 6000 current usages of leisure=swimming_area are likely misstagged according both to the old and the new clarified descriptions. While a decent amount and possibly borderline, I think it’s few enough to go through manually and update (or leave fixmes/notes where not clear how to handle from the armchair perspective). I haven’t gotten around to that yet (want to improve the wiki a bit further based on the feedback here, as well as rewrite the category page), but as written in the OP I intend to create a MapRoulette challenge for this (and likely do a large part of the work myself).