Horseshoe is the same exact menu - it just doesn't have the old-timey colonial theming and outfits.
Way back when, it used to be an Old West style stage show with dancing saloon girls and such...then it was briefly its own BBQ focused buffet restaurant. Post-pandemic, it became overflow seating for Liberty Tree and started sharing the same menu ever since.
I also agree ham is a downgrade from roast pork. I'm OK with ham in general, but would be disappointed to go to Liberty Tree and get ham instead of pork, if pork was still listed on the menu. The pork also works well with the gravy that also goes on the turkey and potato - but I wouldn't put gravy on ham.