Like I said, the shooters/swimmers won't fill the upper corners of the carrier as much as an E/SAPI will and the way it looks might bother you, but functionally, they'll fit.
E/SAPIs basically have a 45* or so symmetrical clip. Shooters take a slightly longer cut down the side and swimmers take even more (with that cut sometimes ending at the middle of the plate). Technically, shooters and swimmers are different, but when you add in variation among different makers, the distinction can blur.
IME you're not going to get the stock completely off of the plate with any cut.