Hey Red, I think someone up thread mentioned self disclosure... what do you want your clients to know about you? What would you like to keep to yourself? It's about boundaries, you need to look after yourself as well as your clients.
If you think the scars are very visible, you might want to think about how a client could feel about it and how it could affect the relationship. Ultimately, what's helpful towards their treatment and what's not. It might also be worth exploring (with your T) how you feel about your clients seeing them or having them uncovered?
You're absolutely right though, really great therapists have usually had very messed up pasts, which they've worked through... it's just that the client won't know about it