If they withheld depreciation I would let them see the paperwork. Because you still have to invoice the insurance company to obtain the depreciation. They may also catch something that some new adjuster missed, that you have no clue about.
example: insurance company says roof is worth $10,000, deductible is $3,000, depreciated $3,000
The first check you receive should be $4,000, if you take bids and choose a bid at $9,000 then the insurance company is only going to send you up to $6,000, and you still have to pay your $3,000 deductible. The insurance company is not going to give you an extra grand to take a vacation.
If you let the companies see your paperwork, check your paperwork and do it for the RCV well then you can maximize your deductible. Your roofing company may even upgrade you.
According to the law it is your obligation to pay the deductible so you might as well get the bang for the buck. Take this opportunity to choose the contractor you like, and have that company double check the insurance representatives paperwork. There are a lot of shotty roofers, and a lot of shotty adjusters out there, so choose one you trust and have him look over the paperwork with you.