Please look at this forum. zsc100 got the parts listed.
https://www.f150lightningforum.com/forum/threads/installing-pro-power-onboard-9-6kw-inverter-oem.15816/page-2#post-322569
Yes it will need to be using the 7.2kw inverter. The lightning is a little different since it has both 2.4kw and 7.2kw inverter. But the wiring for the back will connect to the 7.2kw inverter. There are 4 wires same as with the non 7.2kw and 1 of the wires doesnt have power for non 7.2kw.
For the lightning it is another inverter for 7.2kw and the wiring harness to connect to junction box and then the 240v outlet panel. The wiring to the panel already have the 4 wires needed.
There is no way to install a generator and the part in 1 hour unless everything is thete for all trucks just need the 220v panel and software upgrade. That would be 1 hours.