Bashir's arc was great, from a wet behind the ears, skirt-chasing Starfleet Medical grad to a more mature, more patient with others experienced doctor. If only they hadn't followed it with the enhancements bit. There are good stories that could be written about being enhanced, but just letting him stay in Starfleet and go easy on displaying those abilities doesn't them. It's like telling a gay person to pass by not showing any same-sex attraction and going along with the sexist jokes that are being told around them.
Except they never said anything about going easy on displaying his abilities (unless you count not trying to conquer Earth), and his status is common knowledge; to the point a mental health facility arranged to send other enhanced people to meet with him.