Well he must be on coumadin which is a potent blood thinner - far more than aspirin. Unless, I am wrong and he got a pig (tissue) heart valve and thus wouldn't need coumadin. But again this would not have been the usual case for his age.
So any activity where he risks significant contact would also risk serious bleeding. If he is on coumadin, as I susupect he must be, his doctors would have warned him of the risks. Although to court favor with the Hollywood Pol they might have given him the ok to take these risks but IMO I just think it is not only unnecessary risk to himself, but in regards to his responsibility as governor his constituents.
I am surprised the usual gossipy press has not brought this up.
It in some way reminds me of JFK having Addison's disease and osteoporotic induced compression fractures in his spinal verterbrae. At least one theory has it that he had no special war injury to his back but he had back pain from damage to his spine from osteoporosis (although the trigger could have been war related acitivity). This was at the time not publicly disclosed. I guess one can find other examples of presidents with medical history kept out of the front pages. Didn't Wilson have a stroke that was for a time hushed? And Grant was an alcoholic though I am not sure if people at the time were unaware. And in restrospect Reagan was showing sigins of Alzheimers while he was at the tail end of his Presidency though it wasn't clear at the time though I remember the possibility was raised.