Theoretically the amp that drives the woofers has the challenge of physically pushing the woofer and dealing with all the electrical interactions from that task, so splitting that job gives the tweeter amp the benefit of not having the side effects of handling that task. Your situation is most feasible for a passive horizontal bi-amp configuration. Your two amp choices are relatively similar compared to say a tube amp, plus the passive crossovers remain unchanged, so I’d surprised if the difference is significant, but it might be audible.
How much change it makes is an unknown, but since you have both amps on hand it’s not a huge deal to experiment. You might find that one does better as the woofer amp, and the other on the tweeters, so try both ways if you proceed.