I imagine it also impacts all the other infra (eg, what reagents dou need to store at the launchpad, what do you need to store nearby, do you need cryogenic cooling, etc
It does! The take-off temperature is a very big concern, how much chilling of the rocket needs to happen etc. The ground support equipment I gather is also complex, although I think storage and transport of all those sorts of fuels around tank farms is much more of a solved problem, I suspect you could buy much of it off the shelf (not that NASA would, but SpaceX seem to be buying regular commercial equipment for theirs).