Most (all?) airliner holds are pressurized and nearly all are heated, at least above freezing if not to cabin temperature, so I wouldn't expect any particular problems. The atmospheric pressure at sea level is around 14.7 psi, so even if the the hold was not pressurized at all, the worst your bike would see would be around 15psi extra pressure in the shocks/tires. The air pressure at 30,000 feet is around 4.4 psi, so at typical airliner cruising altitude, an unpressurized hold would mean that your tires and shocks would see about 10psi of additional apparent pressure.
If you were running some fat low-pressure tires on your bike pumped up to their maximum pressure, then you might want to back off on the pressure a bit for piece of mind just in case it ends up in an unpressurized hold, but I'd bet that even a bike tire rate at 30psi will stand up to 40psi without bursting. But I'd have no qualms at all about a 110psi bike tire standing up to 120psi in the plane.
Naturally, if the airline has any special requirements, you should follow those requirements, but I've flown my bike on several different airlines (including overseas), and have never seen a requirement to deflate the tires and have never had a problem.