I don't know why some Cochleanthes got moved to Warczewiczella and this one didn't. I took a look at the
Kew Checklist and for this one, Cochleanthes aromatica is the accepted name and Warczewiczella aromatica is a synonym. For the other two, it's the opposite... the Warczewiczella name is accepted and Cochleanthes is a synonym. So treat all of them the same... any differences would be very subtle other than one genus is easier to spell than the other.
I have discolor (which grows vigorously and is cold tolerant) and wailesiana which grows warmer. Looking up aromatica, it is probably closer to discolor in cold tolerance but certainly doesn't need cold. Your intermediate (mostly indoor) temps should be fine. Relatively shady. Likes to be on the damp side. Divide when it climbs out of the pot but bigger plants are more vigorous and floriferous (like everything IMHO) Flowers emerge at the base of the pseudobulbs. (So you have to pay attention or you might miss them) Again, I don't have that one, but mine I can't tell what's a rebloom from an old p-bulb and what is multiple flowers from a current one. Both of my plants do bloom more than once a year. Fertilize normally and lightly... my plants get very little and do fine. (True of my whole varied collection with the exception of Cyms and Catasetinae where I do give a boost)