Well, I'm sure someone who has done more thinking and research about this will reply, but here is my confusion on this topic.

Sheldon says "old French cranks" take ISO BB tapers.
Velobase says the TA cranks take ISO BB tapers.
Jan Heine on the Rene Herse site says TA cranks take a JIS taper, because the Japanese copied the old French standard when developing JIS.

So which one is it?

I used a regular ol' Tange/Shimano JIS cartridge BB when replacing the TA BB for my 3 pin TA Professional cranks recently, and the chainline looks pretty much the same as it was before, although I did not measure the before and after specifically. I guess it doesn't matter too much because the taper degree is the same on both, but it might change your chainline.