I applaud you being so comfortable with your BP.
For me, I suppose it's not so much about "shame". Rather, I feel an unease that I might be "unfairly" judged/penalized for having a handicap that is not necessarily in my control. E.g. an employer might not want to hire someone if he knew about the BP, even if the candidate had been stabilized for a long period of time and had a respectable track record.
Information spreads, people gossip, etc. so I feel that it's in my best interest to keep my BP between myself and only a handful of trustworthy people who need to/have a right to know (e.g. medical team, immediate family, and boyfriend).