The standard moonclips that come with 327/627/trr8/M&P work with Winchester, S&B, and a few others. They will hold the other brands, but they will be far too loose to effectively load the cylinder.
For starline, remington, federal brass, the TKCustom match moon clips do a spectactular job of holding the brass, making reloads WAY smoother.
NO, you don't have to use moonclips to shoot the 627, but, they sure do make reloads a whole heck of a lot easier.
For demooning, I just use a multitool / pliers and the cases pull right out.
I use this setup in ICORE, and I will typically start the stage with a standard moonclip and carry match moonclip reloads w/ Fed, Rem or starline brass.
HTH