Have you ever tested your XL pick with the 12T jack that comes in the case? https://www.amazon.com/Hydraulic-Bottle-Jack-Carrying-Case%EF%BC%8CRed/dp/B0G6SFJQT3/
Do you have a link to the one you purchased? I'm in the same boat as you, I don't want to spend several hundred dollars on some of this spare tire hitch mounts that are out there especially if only using it a couple times a year