I don't have any point to prove, or related products to sell regarding finishes, but Melamine is my finish of choice for wooden pens and has been for many years. If you can successfully apply CA as a finish, applying melamine will be a doddle. Despite saying satin on the tin, you actually get a nice high sheen - I can't say it's a gloss because it isn't, but if you end up with less than a high sheen, you're doing something wrong. I suppose you could say the finish your aiming for is gloss to the same extent that gloss paint is gloss, but not to the extent that CA is gloss.
My technique these days (we all evolve how we do things) is after the sanding sealer, I apply the first two coats with the lathe running and burnish with it running, then all subsequent coats are applied with the lathe stopped. I turn on the lathe to burnish between coats. The modification to my method came about by necessity, as previously I was using a lathe that could run in reverse, so I used to reverse for alternate coats, all running. That lathe is currently in pieces and the one I've been using for the last 6 or 7 months only runs one way, and I found that I could improve things by stopping the lathe to apply all the coats subsequent to the first two.
But the very best tip I can give you Lee, and anyone else reading this, is after your final sanding, before applying the sanding sealer, burnish with the shavings, first with the lathe running, then vigorously with the grain with the lathe stopped. The difference in the final finish between doing that and not doing that is enormous.
I hope that helps.