Well, even a real tube amp takes time before being playable
This having been said, I like the idea of a sort of selectivity!
I like to think that Performance mode could be the answer to this: Normal mode would be devoted to tweaking, trying new stuff, ordering, coupling amps and cabs... and only the selected rigs could be recalled when switching to Performance mode.
If this is not planned/possible, then a rig selection option could be added to the KPA, where only the selected rigs are loaded at the next startup. I'd not limit it to just the first/current rig.
Of course, the possibility to add rigs on the fly from the (internal) storage memory to RAM for an immediate use w/o the need for rebooting would be really useful.