I've never tried anything smaller than a 4" parabolic. only one way to find out, try it.
I had just traded for a 4" banana chopper. I didn't realize it was a 4" until I got it. I chopped one feather and not sure if I will try it. the height wasn't what I like. I will have to readjust it and try again.
to add to this, keep in mind sometimes it takes a little more feather to stabilize a BH.