Black Widow recommends leaving their recurves strung (if you are shooting them regularly) and hanging or storing their longbows unstrung. It seems counter-intuitive to me, but apparently the narrow limbs of a longbow tend to resist twisting moreso than a recurve.
Leaving my recurve(s) strung seems to facilitate more frequent, impromptu shooting sessions. While I do unstring my longbow, I leave it on the wall, "at the ready" with a Selway stringer attached.
You may want to check with your bow's manufacturer to see what they recommend.