yes i have the auto throttle. and when i engage the transfer case power take off control lever (beside the seat) the auto throttle will rev the engine up - it will hit ~2000 rpm then quickly settle to 1500 rmp or so. also when i disengage the transfer case power take off control lever (beside the seat left side) the engine will rev up to 2000 rpm and then drop to idle. this lever is also "sticky" to engage or disengage. i have lubed it but it needs more attention.
Since you brought up the manual hand throttle, mine does not work in that you can pull it out one click at a time and there will be no effect, then you will hit this one click and the engine will rev to 2100 rpm, if you back click one click rpms drop to idle. since i don't use it, i have not spent any time figuring out what is wrong or what needs reset. any ideas?
OK so I think the A0 and A1 came with the auto throttle but for some reason the A2 did not. When you say "transfer case power take off control lever (beside the seat)" I'm thinking what's also called the "power divider" which engages the PTO drive to the hydraulic pump under the deck. It's the lever in the rear corner of the cab by the driver. So anyways it sounds like your auto throttle is working as designed. That said is the design very good or working properly? Is the throttle held high enough, long enough, to get it to shift to top gear reliably every time? I think the only way to tell is to duplicate the issue then hand throttle to 2000, let it sit and see if you can hear/feel the shift, then let go the hand throttle (back on the auto throttle) and go check to see if the crane is running at rated speed.
Another option is to ditch the auto throttle at least temporarily. Not having the item on my truck I don't have a clue BUT I did just defeat the auto front axle engagement by unbolting the air switch and using a zip tie. I'll bet it's similar. You may have to move the actuator to get true linear hand throttle but I'm betting this was an add on item so removal will likely be just as easy as the front axle auto switch.
I like my hand throttle and have no intention of adding anything. Partly it's KISS but there's another good reason: I need it sometimes while in rough terrain. Several days ago I got a day to go "rescue a wrecker" (I'm working on a M543A2 stuck in the woods that has to be driven out and took my M936A2) and I went in the back way. Well the back way is steep, narrow, dirt, mountain on one side and cliff on the other. Some of the switchbacks took 4 points and the road is off camber by about 20-25 degrees at those points (ever walk your wrecker sideways?). I came out after dark and downhill. I sure was happy to have that hand throttle because as I had to back up I could keep my foot on the brake, shift into reverse, hand throttle up and ease off the brake. 37,xxx pounds of truck with a half dozen 5-ton NDT tires and rims binder chained to the boom on the back facing a cliff a couple feet from the edge.... Yeah I like that thing. Also I can't afford a Chinook because that's what it would take to get my rig out. If it was worth anything after the drop.
But I digress..... I like it. One of those "you'll have to pry it from my cold dead hands" things. Give it a shot you can always put it back.