Headset minimum stack height
How minimum is the minimum stack height on a 1'' threaded headset?
I've got a '93 Specialized Rockhopper with steerer tube @ 120.9mm and head tube @ 86.4mm, so 120.9 - 86.4 = 34.5mm.
I've got an option with a Tange Seiki Levin JIS headset, which apparently has a 33.3mm stack height.
...but would bad things happen stretching the definition of minimum to another option with a 37.6mm stack height?
All advice gratefully received. Thanks in advance.