Go for it
I can't see where in the assessment process it would cause a problem (given you have a class 1) but there is the post-assessment BA medical. Without being a BA Doctor I think it's hard to say what view they'd take of your medical history. IMHO, I would say go for it but if you get accepted, save popping the Champagne until you've cleared the BAHS medical. And be prepared for some hefty exceptions on your loss of medical insurance!