For instance, CryptoMinisat first implemented XOR detection along with Gaussian elimination. They were using SAT on cryptographic problems, so it made sense to specialize for that domain. But now there's a bunch of crypto-based problems in the SAT competition and many of the other solvers also implement Gaussian elimination. But I'd guess that most users of SAT solvers wouldn't see a noticeable performance difference if you got rid of Gaussian elimination from the solvers.
Another good example is Alan Mischenko's ABC which wins the hardware model checking competition every year but uses a fairly ancient version of MiniSAT as its SAT solving engine. It's not that a faster solver wouldn't make ABC faster, but that the real smarts in model checking are in what queries you send to the solver, not in squeezing an extra 2X or 3X performance out of the SAT solver using the same old dumb queries.