yes because that's inherent in all characters. While hi hps would be increased if the player he was healing was regenerating health, so would every single other medic. his healing would increase to 125hps, but Val's would go up to 135hps in her medgun alone, ignoring her supplementary heal burst.
The increase self healing done to me also applies to the other argument stated above. and also, by taking those perks you are also kind of weakening yourself as well in a way, by choosing to take those perks above other more helpful perks that they could better utilize.
Once every 50 seconds, after that moment they'll go down fairly quickly if the monster is fairly good.