Yes, due to the nature of the design, pumping a hydraulic jack is easier than rotating the handle of the stock jack. That said, also by nature of the design, it can not compress as hydraulic fluid leaking past an o-ring can.
I also carry a high lift in both of my wheeling rigs, but not the 45. I just remembered I did use it one other time when we were doing a work project with CUSP down in the Hayman burn area, I got a gash in my sidewall and had to put the spare on. The jack works, it's just harder to operate than a standard hydraulic bottle jack.