IMHO, The thought of "pausing" using a Skagit Compact does not make any sense?--Water-born casts should be continuous motion casts.--Am I missing something here?
Yes, I think that is overgeneralized.<can'o'worms opening>
In the OPs case I going to hazard a guess that this is just a mental construct that gets the job done for him. Maybe all it ever is, either way, is a mental image that helps get it right.
But a lot of people distinctly throw the loop behind them in the second half of the sweep, especially if they want to cast more distance (bigger loop - with a skagit compact and a 15' sink tip there is plenty of line to do this, but of course really comes into its own on a little longer head), so there is a kind of bi-phasic sweep, the second half of the sweep is more straight back than than maybe would be included in your definition. The elbow breaks abruptly, rather than continuously is how it feels to me. On casts like that then yes you might consciously wait after the rearward sweep. For the best practitioner of this I personally have seen - Jeff Putnam - I am not even sure that the momentum of the "back cast" isn't adding a bit to the load, which I would say makes it an "advanced" spey cast in Jeff's hands. Or at least weird. But the "normal" version is just a change of direction in the sweep that is more rearward. It still forms a perfect D loop but it is a bit more authoritative looking sustained anchor cast. Faster in parts, but with a definite pause. Its taught by some instructors, and it is in some of the books. With that type of anchored cast you occasionally DO feel like you are waiting a bit (because you are), IF you think about it. For shorter heads it is easy to overdo this, but its IS an option.
When I see a video demo of the so-called totally continuous casts, that "feel" that way to the casters, that don't appear to nevertheless have a very slight pause I will believe that there is one of these that truly has no pause at all, instead of just feeling like there is no pause. Possibly what is meant is that the acceleration is constant - but to me the actual velocity of the tip appears to be zero just before the power stroke, even in the master, Ed Ward's, videos I have seen. In the end it doesn't matter - whatever works. Its just that the mental image for producing the right result may vary from what is actually happening, and from person to person. But it doesn't matter. Point taken, shorter the head, smaller the pause.
Edit: OK I'll take it back, went back and looked at a few again. In slowmo here:https://www.youtube.com/watch?v=__oUQ5OEq8g
at about 6:30 it DOES look like the tip is moving very slowly and not stooped. The angle in that video is particularly perfect for this. Not stopped, but pretty darn slow. Someone with a lot more experience that I would have to make the pause/no paused running. :-) But its still totally awesome.