Some folks are (understandably) unhappy with using third-party tools like Google Forms for surveys, e.g. for the Coolest Tool Award nominations in https://meta.wikimedia.org/wiki/Talk:Coolest_Tool_Award#Google_form or in https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/RMRQF6ANRVWXA6ATHEPQAN4S4SAV5OK6/ for the Small Wiki Tools User Feedback Survey. Other Wikimedia Foundation teams or departments have also used other platforms (e.g. Qualtrics) for running surveys.
This makes it look like a cross-team topic.
Maybe the Wikimedia Foundation (though unclear which department) could find capacity to check whether anything feasible exists that could provide similar functionality (also on the data analysis part) while being preferably self-hosted.
Several things like https://www.mediawiki.org/wiki/Extension:CIForms , expanding https://www.mediawiki.org/wiki/Extension:QuickSurveys , looking at https://meta.wikimedia.org/wiki/LimeSurvey , have been mentioned.