Will it fatally kill the guitar that it'll have no strings for about a week or 2?

I don't mind if the neck warps a bit, I was planning to take it to a luthier anyway.
ESP LTD M-100FM Tone Zone (B)/Breed Neck (N) w/ Coil Splits
Fender Electro-Acoustic
Line6 Studio UX2
BOSS DD-6 Digital Delay/DS-1 Distortion Robert Keeley ULTRA Mod
Electro Harmonix Holy Grail Reverb
Dunlop SW-95 Crybaby Slash Wah
it wont, my Ibanez was literally sitting on my bedroom floor, in peices for at least a month and i'ts fine, so if it warps theres a problem
Jackson DKMG Dinky (EMG 81/85)
Ibanez GIO (i put a Dimbucker in the bridge)
Crate GT65 (65 watts) to be upgraded soon, suggestions welcome (must be tubed)
Floor Pod (for sale)
No. Loosening the truss rod makes it a little easier on the neck, but it's definitely not necessary.
I left the strings off my Strat for a month. The truss rod needed resetting, but the new strings didn't break the neck when I put them back on. Who says Squier can't build guitars?

Ibanez S470
Laney HCM30R
Digitech GNX3000