Yes, my first ML was a Lyman trade rifle. I loved it.
Anyhow, swapped out the lock with one of the RPL's (didn't really need fixin but wanted to "hop up" the rifle - honestly, didn't notice any difference).
The L&R's have a little (thicker) plate and configured a little differently so you do need to remove some wood. It can be done with an exacto knife or small chisel and a bit of sandpaper and alot of patience.
I did this before I started building rifles myself, so it was my first go at inletting. I read somewhere that you could smear lipstick all over the parts you had to inlet and it would transfer to the wood that needs removing.
Now, it worked, but it left a horrible "greasy" mess.
Lamp black (hold the metal over a candle or oil lamp (works much better)) or commercial "inlet black" is super messy, but works well (and at least it's not greasy).
If you undertake this, always remove less wood than you think you should. It's tedious to put it lightly (remove a bit, replace the lock, see how it fits, re-black, remove a little more, repeat), but certainly not beyond the average owner.