OK. this assumes that you are proficient in each discipline, not the time it takes to learn it. This is a slightly touchy subject for some, so please put away the pitchforks...
First - some people call Aloris tool posts QCTP, but there at least 4 different types of QCTPs out there. My comments pertain to Aloris only - I have virtually no personal experience with other types.
An Aloris holds the HSS bit parallel to the ground, without extraordinary measures to change that. Your grind and angles cannot be changed easily, but if you get them right one bit can serve very well - in one type of material. If you get them wrong, you go to the grinder and change them until they are right. Sometimes diagnosing tricky heat treats of a usual material, or an unusual or unknown material can take loads of time to get a good cut or finish... So you want to cut brass with your HSS tool ground for steel, and you'll gall the heck out of it.
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Now on the the lowly and sometimes maligned lantern (sometimes called American, or Anderson) toolpost. you do a grind with 5 degrees in each direction - normal for mild steels. If you get a bad finish, you adjust the angle of the cutter until you see a better result, which takes seconds. this is your indicator that you need a shallower or steeper cut angle, or whatever. you can adjust your grind for optimal results and go for it, again adjusting this new tool in subtle ways to achieve your goals.
BONUS: I have two tools for cutting wood in my lathe. they look similar, but by adjusting the angle of the tools I can use my softwood bit to accommodate differences in the wood grain, texture or moisture content. If that doesn't work well, I use the stteper cutting angle tool (hardwood tool) and adjust again. I get really good results because of this angle adjust ability.
Caveat: Unless you have a honking big lantern toolpost, don't bother taking a really big chip with it. It just isn't meant for those pressures.