I bought a bottle of the Shenandoah and have tried it some, but not systematically. I'm more inclined to my own tallow-based lube or other "greases" than to liquids, so it's certainly not an informed comparison with my old bottle of LeHigh. I just never used the Lehigh much as a patch lube either.
With that as a preamble, I gotta say I can't tell the difference between them, either as a lube or for periodic bore swabbing. I'd bet it's going to take some long bench sessions and maybe a chronograph to find any difference, because in offhand shooting to 50 yards I see no difference between Shenandoah and LeHigh in POI, fouling or patch condition. I haven't tried loading either one, then letting the gun sit overnight, much less all day, to check for ignition. But that's the root of my nervousness about the liquids anyway. That and packing a squirt jug of lube on hunts rather than a very small tin of grease.
So I'm certainly not the one to offer any definitive answers. But if my limited "tests" are any indicator, bring the benchrest and the chronograph if you're looking for differences.
Edit: I reread and see that you asked for calibers and loads. This was done over several range session, basically with whatever rifles I had along at the time. So far I've done it with 3 different 58 cal cappers and loads ranging from 80-100 grains of Goex 3f, pillow tick patches and .562 balls; a single 54 cal capper with .530 balls, pilow ticking and 90 grains of 3f; a 50 cal flinter with .490 balls, ticking and 80 grains of Goex 3f; and, a 50 cal capper, .490 balls, ticking and 80 grains of Goex 3f.
One last edit: I forgot to say that I also tried Hoppes #9 Plus as a lube and bore swab alongside the Shenandoah and LeHigh. I couldn't tell any difference between the three of them, so write me off as an unsophisticated tester of liquid lubes.