The actual thumb piece is smaller on the J frame, but the nut that secures them seems to be the same. I just switched out the thumb piece on my J frame and L frame revolvers. The J frame slot is smaller and it would require some hand fitting to make the L frame part seat and fit properly, but it could be done with a little file work. The L frame part fits and works on the J frame, it just rides a little high.
The J frame part will fit and work on the L frame but it would look kinda' odd in my opinion. I'm not sure why anyone would want to make the swap, but it appears to work.