This would allow a user to default all searches to Alphabetical order – see T403775

The choice of Sorting order should be remembered and offered as the default on subsequent visits.

Relevance is by FAR the most logical sort order for almost all users, and other orders are FAR more niche and for users with a LOT more experience., Persisting this option makes it very likely that less experienced users accidentally get themselves into a mode that they REALLY shouldn't be using, without fully realizing how to fix this.