While I'm no expert, the cowboy action shooting folks pretty much use 'cheap' SxS shotguns exclusively... and those folks take that sport seriously.
I'm sure they do some 'touch-up' work to the guns they use if they are very serious about the sport, but from what I've read, there's rarely a major complaint about the 'cheaper' SxS guns... and these CASS folks throw thousands of rounds down range.
Just an observation.
IMO: if you're looking for a competition trap/skeet gun, then I'd consider the higher end SxS's. If you're looking for a fun gun or one used for SD/HD, then I suspect the 'cheap' ones would work just fine.