It's conceivable, but for example I shoot three longarms regularly. There's my wife's Marlin .22 bolt-action, her grandmother's Sears and Roebuck .22 semiauto, and my Sears and Roebuck Model 300 semiauto shotgun, which I can honestly say I love the most of all. Each one has a specific way I should hold it and a specific way to treat it to achieve maximum accuracy, but as I have practiced long hours with each, each on is an old, familiar friend when I take it in hand to fire.
What has this to do with trad archery? How much time do you spend with each bow? Is it enough time to get it firing perfectly then moving on, or do you hop between bows constantly? If it's the latter, a bit of continuity might help a lot.