I have ran ams bi-amping horizontally and vertically, both gave great results. I started horizontally like you are doing now, it worked well. Vertically was good too as I separated the left and right channels by running mono blocks.
In your case the part that will create the bigger load is driving the mid / bass drivers, so more likely to see the lower than 8 ohm load when the frequency drops. The tweeters require much lower current, you are more likely running it the best way for your current amp specs.
I don’t think the amp will see anything more difficult Than it saw before, the amp doing the tweeter will definitely have an easier time.
You should not need any higher volume setting on you pre-amp just because you are running bi-amp, if you do something is wrong.