Congratulations EvilTwin!
You must be putting something in the water to make your critters so frisky.
Been listening to any Barry White albums lately around your tank?
Anyways, it is common for BTA's to split in the aquarium. Some say it is a reaction to stress, others say it happens under pristine conditions. I'm not sure as I don't keep BTA's, but it sounds to me like you are doing something right. The deflated one should reinflate soon. No reason to get rid of one unless you can trade for something good.