Yes it does, mine will lift the cab no problem as well as lower the tire. I'm running the stock unit-vented. No aop installed.
Ok, well the stock hand pump is 4x4x3.5 outer dimensions, but it is perhaps 1/8” wall thickness and radiused corners a square 3.75x3.75x3.25 is 45.7 cu/in minus ~2.5” for the radiused corners leaves ~43cu/in when full… and the fluid draw cannot draw every drop of that fluid so there will always be a little unusable in the reservoir of any system, and I did not consider any plumbing protruding into the reservoir to pickup fluid… so perhaps somewhere in the 42cu/in of fluid available…
the cylinder is 2”X ~14” stroke so 3.14sq/in X 14 = ~44cu/in required. Plus that absorbed by the cab latch piston when pressurizing the system, and I have never calculated that. Probably not much more than a cu/in though… so y0u have ~42 available but you need ~45?
Tire lift isn’t an issue because it is the rod end with far less volume Required. But the cab lift is just over available if everything is perfect….
the only way I see this working is if your rod end seals, control valve seals and pump piston rod seals are perfectly tight enough that the rod end of the piston is able to suck enough fluid back into the rod end of the cab cylinder when lowering to provide the makeup fluid to just get your cab raised. Most hydraulic valves, rod ends and hand pump shafts are designed to hold pressure in and do not withstand vacuum very well and will suck air when the system goes under vacuum like the rod end of the circuit does when lowering the cab via gravity… you will know when yours starts to do this as you will get the rod end fluid back after the lift because it is pushed, but it will be unable to suck it back when you lower, so that fluid + the fluid returning from the cylinder base and latch will start to overflow at the reservoir. Now that this fluid is gone, you will not have enough to reach orbit as the rod end didn’t draw that fluid back for the next lift…
helped someone troubleshoot a problem like this and the math didn’t work then either

we came to the conclusion that the stock reservoir was just a hair too small for reliable operation when you consider no vacuum fluid movement which is normal. I think I suggested to him to screw a hose barb into the vent port and run it to a secondary reservoir to give enough volume to work reliably without relying on vacuum/seals in the pressure side of the system…