Actually, the Cobramatic had a compromise needle which was supposed to fit both kinds of grooves, but which fit neither very well.
I use my modified Collaro Conquest with a Shure M44E cartridge, with the N44-3 for 78s. I can play 78s at 2.5 grams with that! I also have a Lenco L-78 for the odd speed records (70, 71, 75, 76, 80, 85, and 90 rpm).