"The amount of honey that comes out a frame is based on the honey, speed, time and the angle of incidence of the centrifugal force hence whether it is tangential or radial."
There fixed it for you
"Is there a commercial operation that uses a tangential?"
I doubt there are any using true tangentials but what the OP called a 'hybrid' and I called semi-reversible but are also called self-reversing and semi-radial that tilt the frame to one side as it rotates and to the other side when it rotates in the reverse direction.
They're more complex and hence more expensive to make than radial so they're not used as much these days unless really needed but they can get difficult honeys out of frames faster and more thoroughly than radial extractors can or that radial extractors simply can't get out at all so yes they're used and used commercially. eg like this: http://bouteljeproducts.co.nz/catalogue/product/boutelje-32fs-manuka-honey-extractor/
I don't have to deal with thixotropic/jelly-like honey but cold and partially crystallized honey, eg like Canola/OSR is likely, perhaps more so for a hobbyist than commercials as we have other jobs to do so can't extract as soon/frequently as would be ideal.
I happen to have access to hot room facilities to warm supers up before extraction so used this to justify to myself getting the slightly larger radial extractor but otherwise a 6 frame self reversing was tempting.