I have a Lone Eagle in .357 Remington Maximum. Knowing nothing about the cartridge, I shot one box of factory 158 grains and then went reloading. An amateur, I none the less I ended up up with 180 grain Speer flat points at 1820 FPS and easily shot touching holes at 100 yards off sand bags and a 2x7 scope. I left it on the bench when I went after deer in favor of a bolt gun however.
The Lone Eagle single shot is fundamentally different than the TC, but certainly much stronger than a revolver. With the 180 grain, it duplicates a .44 mag in energy at the muzzle, and on paper, it has better penetration due to the higher sectional density.
Looking back at the options available for either the TC or the LE, there are better or at least more common cartridges available. Say a 30-30, .35 Win or any of the 7mm rounds. A 7mm-08 in a TC would be sweet. The single shots handle recoil better than revolvers......
Edit: you can shoot .38 special and .357 mag..... plink whatever reduced recoil.....