I was using whoogle and tried to go light mode but seems like clicking on preferences brings back to homepage.
Similar issue with Searx where I want to change interface language and theme, but it's back to old one.
Hope you guys have not put any cookie restrictions.
I disabled preferences for Whoogle as it didn't save user settings per user rather than per instance. That often resulted in completely bad setups like having Chinese search language instead of the one actually preferred, forcing the user to change settings in any case
Searx got some settings changes as well but afaik that's only for default settings for me settings stick here, are you sure it's not something browser related? When does the language reset occur exactly?