You've pretty much put your finger on it. The 2000E family body is almost the same electrically and actually
is the same physically. I suppose if you could find a BC1 body you could use it to tame bright 66-clone styli, but 2000E-family bodies are far more common.
However, I've found that my apparently original-genuine SBC-1 stylus does not sound at all treble-boosted in a body less than one-third the BC1's inductance. Also that it doesn't track well at 2g, all of which is puzzling. Some day I'll have to crank it up to 3g and see how it does.
Here's a jpg of the specs (taken from the box):
View attachment 1250591