The Lyman lock is "thicker".
I put a GM IBS (meant for T/C's) on a Cabelas(Investarms) rifle and remember having to grind out that part of the Breech that over-laps the lock a bit,, then some of the hook, but after that the geometry/alignment for the nipple was the same.
I also remember goofing around with a couple of locks with a couple stocks and they were not a direct drop in, close enough to whittle a bit to make fit, but I didn't want to make that permanent change to the stocks.
I'm not sure the if locks "mount bolt" position is the same.
FWIW, L&R makes replacements for both and they are different models, 03 for T/C, 05 for the Lyman