My lathe has a MT3 TS. Would be unwise for any reason to but an MT3 to MT2 adapter so I could take advantage of MT2 drills?
I was mightily impressed one day when I saw a 3" twist drill in a drill press. That was the largest spiral drill I'd ever seen,That is just fine. At work The lathe has mt5 tail stock. I use drills with mt1 to mt4 all the time I some times have to use 2 adaptors to get there.