I don't disagree with anyone who goes to the effort of removing sails,
and even booms, in preparation for storms. I'll just throw out my
personal experience, FWIW.

For Betsy in '65 and Camille in '69 I had hank-on jibs which were
completely removed. Main was left in place under its cover. No
problems either time.

Fast forward to '05. For Katrina and Rita in New Orleans, then Wilma
in Key West, I had a roller-furling jib. I removed the sheets and
bungeed the sail at several points, then tied the drum down. Left the
main on under its cover. No problems.

YMMV,

Frank (just back to Seattle from a delivery from St. Augustine to New
Orleans, behind Eduardo and before Fay. Hooray!)