Pretty subjective topic.
I own both, although my 4513TSW is one of the original models with the cutaway grip frame and sans rail. My last duty weapon was a current 4513TSW, though, so I've had a fair amount of time to run rounds through it, as well.
The 4513TSW with the standard grip offers a bit more to hold in the hand, as well as 1 more round in the magazine. The balance (for me, subjectively speaking) is fairly light and well balanced. It feels almost muzzle heavy compared to a CS45, though.
The felt recoil is decently controllable for a compact alloy-framed .45 pistol.
The CS45 is a bit lighter feeling in the hand, with more of the weight feeling as though it's centered more over the top of the hand instead of in front of it. The felt recoil is brisk and a bit sharp, but fast enough to get it back on target fairly quickly. I tend to think of it as having a 'fast, lively balance'.
I'd offer that if someone were susceptible to 'limp wrist' (grip stability/unlocked wrist) issues, the 4513TSW would probably be the better choice.
I find both models to be very accurate, although the somewhat brisker felt recoil of the CS45 would probably make it seem a less favorable choice to some folks who might compare shooting the both of them.
If I had to choose between the two of them, I'd keep the 4513TSW. The extra slide mass and the double non-captive recoil spring setup do seem to make it an easier-shooting compact .45 compared to the slightly smaller & lighter, fast cycling CS45 with its short, single, flat wound recoil spring.
The difference in length is approx half an inch (CS45/3.25" barrel & 4513TSW/3.75" barrel), but the grip on the CS45 gives it a feel of a larger gun. Personally, I find the chunky Hogue grips to serve their intended purpose in mitigating felt recoil and aiding in controllability ... but hey, some folks don't mind losing some of the cushioning effect by using modified plastic grips ... and some folks actually claim to enjoy shooting a Kahr MK40, too.
Seriously, it would probably be beneficial to try both, if possible, before deciding.
Or else simply doing what I ended up doing and owning both at some point.
Here's some images of my original model 4513TSW & CS45. The butt plate with the straight front profile is what originally came with the early 4513TSW mags. I simply switched a couple of them between the different model mags because the flat one felt better in my hand when using the CS45.
Here's my older 4513TSW compared to a current production 4513TSW.