There are differences between the Lyman and Green Mountain barrels other than just the rate of twist. The Lyman barrel has grooves only .004-.005" deep as a compromise for both balls and bullets, and really more for bullets. The Green Mountain barrel is strictly a patched ball barrel with grooves .012" deep. If you intend to shoot patched balls exclusively you'll find the Green Mountain barrel to be much better. I have replaced quite a few T/C and Lyman barrels with Green Mountain, both for myself and for other shooters and in every case the owner was impressed with the improvement in accuracy.
I think you have been misinformed on the Green Mountain Drop in barrels. One made for a T/C will fit a Lyman Trade Rifle every bit as well. On any rifle, Lyman or T/C, it may be necessary to do some final fitting of the under lug and under rib but it is minor. I think someone is confusing your "Plains Rifle" with the later "Great Plains Rifle which is a different critter entirely.
Now of course, if you were to buy just a "barrel blank" it would need the proper breech plug underlug, sights and rib installed but the "Drop-ins" have all of that, even though they don't exactly "drop in".