It would be a pretty easy fix if they just let you swap out both Background skills when you choose the Background to anything else (as you can in 5e rules) or split the baby and only allow you to swap out one of them (between 5e and BG3 rules). I think either of those is better than the current BG3 rules, but I would prefer to split the baby so the Background choice actually has some meaning, even if it is minor.