Another, more meaningful example, is a wizard taking insightful reflexes.
You obviously do not want a wizard to be even better at initiative than with official rules, so base reflexes could be a good choice.
Though, rogue has good dex and good base ref, while fighter has probably bad dex and bad ref. I feel that adding base ref to init would increase the distance between them and I think this is unwanted.
Maybe just adding BaB is the best thing.