I've done many with a piloted drill, you don't even need a lathe to do it. One of the tricks I've learned is to stop the drill about .030" from the muzzle. This leaves the crown intact, so after the epoxy cures you can cut a bevel crown to blend with the liner and it looks like an original crown.(the liner is not visible)
View attachment 307726
I've never used loctite, only epoxy. You need to make sure the liner is loose enough in the bore that it will rotate just by turning with your fingers.
I always plug the muzzle end of the liner with a bullet so epoxy doesn't get in. Fill the barrel with epoxy and let the excess run out, and coat the liner.
Hold the barrel vertical in a vise and start the liner in with a slight twisting motion, going slow enough to relieve trapped air and push out the excess epoxy. The important part is to make sure there are no voids in the epoxy and it covers 100%.