I've thought about this quite a bit (which is why I've asked questions of urologists, only to find they don't know).
Let me start by explaining smooth muscle and skeletal muscle a bit more. Smooth muscle is under the control of the autonomous nervous system, and without direct conscious control. Another key aspect of smooth muscle is that it can remain contracted without ever tiring, which is kind of important for the primary continence control. Also, it doesn't contract and release very quickly. Conversely, skeletal muscle is under conscious control. (It can be, and often is, taught to behave automatically without consciously considering every muscle. For example raising your arm requires synchronised actions of very many muscles - at a very early age, you learnt to raise your arm by operating those muscles subconsciously, indeed "learning" meant committing them to your subconscious, because the action is too complicated to do with manual control of all the individual muscles. However, you can still consciously control them individually if you really want to.) Skeletal muscle operates quickly, but tires, and cannot remain contracted for extended periods. That's not much use for primary continence control.
Men have two urinary sphincters, an internal one between bladder and prostate (actually part of the bladder wall), and an external one below prostate and integral with pelvic floor muscles. The conventional wisdom is that the internal one which is smooth muscle provides primary continence, relaxing when you want to start peeing, and the external one is skeletal muscle and provides secondary conscious control of continence, e.g. contracting when you want to suddenly stop peeing mid-stream when your grandmother unexpectedly walks into the bathroom. We know the external one does more than just this - you learned at a very early age to contract the external one also when you cough, or stand up, or jump and land, and other actions than might cause the internal one to leak, but these are short lived contractions which need to happen quickly, and ideally suited to skeletal muscles.
My guess is that the male external urinary sphincter is probably both smooth muscle and skeletal muscle, just as it is in women (who have only one urinary sphincter). If this wasn't the case, the external urinary sphincter could never take over primary continence control when the internal one is lost during prostatectomy. This means when a man learned continence at a very young age, he had two options to pick, using just the internal urinary sphincter, or using both urinary sphincters - both methods will work. 60 years later when he loses the internal urinary sphincter in a prostatecomy, if he had originally learned to use just that for continence, he will now be leaking. However, if he's always been using smooth muscle of both sphincters for primary continence control, he will be dry as the external one is still there and working. Interestingly, if it's this simple, it should be possible to tell men in advance if they will leak or be dry after prostatectomy.
This is just my theory, because it fits what I know of the anatomy and the results seen after prostatectomy. However, it seems we simply don't know how this really works.