I think I've solved the problem I was having. After seeing that Kino Jumps through on the inhale and my jump through is in her style, I decided to go with that. I noticed that I tend to over emphasis that swing forward onto my toes, which is part of where the confusion came from. I've trimmed that down as much as possible.
I look up as I begin to inhale come up on the toes for just a moment, bend my knees, jump up, hover for a second and the come down and through. I begin to exhale just as I pass through and lower.
This seems much better, I feel lighter too, getting that extra lift from the inhale. I've tried to tidy up the whole thing in fact, less shuffling about, more minimalist.
However, I still credit the Tim Miller approach of jumping through at the end of the exhale with helping me get the Jump back in the first place, found it very helpful in the beginning.