NF won't postpone. It's only a lifestyle show and it's only on streaming. People can watch it, or not, whenever they like.
Besides, they'd be setting a precedent. NF is a global organisation so how do you 'prioritise' natural disasters? Yes, I know this show has a distinct SoCal vibe, but again where do you draw the line?
In any case I suspect NF want to close the Sussex chapter and aren't much bothered about this show one way or the other.