The 4013/4014/4053/4054 and the 4031TSW are totally different firearms.
The 4013/4014/4053/4054 are all single stack auto-loaders built on the 45 frame. They use 10MM magazines that have a spacer in them to shorten them to 40S&W length. They make great candidates for a 10MM Auto conversion
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The 4013TSW is a double stack auto-loader based on the 40S&W frame. It takes the Shorty40 magazines or the 4006 magazines with or without the spacer installed. This firearm is not convertible to 10MM Auto
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Thanks. I was aware of the Single-stack 4013, but thinking there was a non-TSW 4013 for some reason.