You're correct, it only looks at the first exposure date when calculating conversion windows.
I think that's the right default behavior, but I could see some value in being able to change it. Attribution is hard and there's no perfect answer.
Imagine you have an experiment on a pricing page. The user lands there, gets put into an experiment, but doesn't convert. Then a few days later they click a promo in an email, go to the pricing page (sees the experiment again), and does convert. Should the A/B test get credit for the conversion or the promo email?