Any jack is fast if you leave it at the truck's resting height. In field use it's not a good idea to leave the ram exposed to the elements and in the shop with mulitple different kinds of trucks and trailers the extensions, screw position and ram are always at different heights when put away.
Most times the vehicle only needs lifted enough to remove the tire or spin the driveline as you suggested, but for removing the transmission from undeneath a truck that has tons of obstructions or a axle removal job where the truck needs to be put on tall jack stands, bushing jobs on trailers where the axle needs to rotate 8 inches downward to access the bushings, etc. The jacks just seem to not be worth the money for the time they take to raise and position compared to a regular bottle jack.
Still see a lot of the OTR tire guys still using standard bottle jacks. And every second counts in that business when you're competing for pennies.
I know this is a semi old post and OP may not come back to see it, but again, I feel you might be using a lesser efficient tool for some of those jobs. Drive on ramps reduce need for jacks during clutch jobs, except again, rotating driveshafts.
Most air jacks have an auto retract function, so the ram isn't exposed to the elements. Pre-set height comes either from the jackscrew, various jack "bases", or a combination of the 2. One of the bases (extensions) we have is almost 10" tall, and slides under most trailer axles and almost immediately starts lifting. Of course, 3 seconds with screw adjustment allows for minor variances. Sometimes It won't slide under a bumper of a trailer, but it takes no time at all to pull the extension off, slide jack under and then reinstall it. Only gravity is holding it on. Low profile "L-bases" seem to fit under most tractor differentials or front axles.
Not having to actually crawl under unit to place and pump up jack makes things nice.
For subframe, leafspring, or equallizer work, I use a ddifferent jack all together. It's a combination jack/jackstand and is MUCH taller. Lift the body of a trailer off the subframe in a matter of seconds. Takes more time to pull the slider, disconnect the 2 air hoses, and 5 way wiring connector than it does to actually lift.
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To answer the original question, we use 2 brands of jacks. Gray USA and Blackhawk.
and Gray support stand/jack