I also prefer the jamb chuck. For what I do, I find it to be faster, more secure, more versatile (works with natural edge bowls and once turned cut rimmed bowls with warped edges) to use than the other options. As they say, YMMV.
Found this picture that helps make some points about jam chucks.
FWIW a few more details on how I use a jamb chuck: I make one for each size of chuck jaws. Make the outer rim of the wood slightly taller than the rest so that's where it contacts the inside of bowl. Attach a piece of router pad to the face with double stick tape. Even draw lines on the wood around the #1 jaw so I can install it in the chuck at the same position each time.
To remove the nub that's left at the end, use a thin piece of cardboard, like from a cereal box, with a 1/2" hole cut out in the middle. Put the cardboard over the bottom of the bowl to protect it, then use a flush trim Japanese saw to cut off the nub. Use hand chisels to take the nub the rest of the way flush, then 1" sanding pad on drill to get rid of chisel marks. Sanding small area on face grain so no need to use coarse grits. Hand sand with the final grits, round the corner on the hand sandpaper so you can get closer to the inside rim. Put an unused jamb chuck on the bench top and use it to support the bowl when working on the bottom to protect the rim if necessary (for NE bowls with bark edge).
Whew, after writing out all the steps, it does not sound faster. I have Cole jaws and use them occasionally. But they won't work for NE bowls which is mostly what I make. And I have bad memories of a nice white oak bowl that took a fatal ride (for the bowl, not any living beings) thru the air when I had a catch with it in Cole jaws.
I have all the parts for making a vacuum chuck, would probably use it if I finished building it.
Hope this helps.
Dave