I’ve taken my full suss to canada twice now and both times I’ve dropped a small amount out of the shocks etc so that I can honestly say “yes of course” when they ask me at check in (not that they have yet)
The baggage hold is pressurised so its not a problem – airlines transport pets in the hold so they have to be pressurised (or the pets would go the way of the norwegian blue!)
I always let the air out of the tyres – but thats because they’re maxis high rollers and are huge and won’t fit well if inflated.
As to the discs etc. I use pipe lagging sponge (buy it cheap at screwfix or whickes) wrapped round and then use zip ties to hold it in place as like you my discs are locktighted on and I’d rather leave them on (But then I have a semi-hard bike box thats damn good)
Definately remove your rear mech and bubble wrap it, oh and the pipe lagging stuff is great for protecting the top tube and other parts of the frame – that and it weighs nowt!
Enjoy