The deductible remains part of the budget
Whatever else the claim pays, the deductible is yours, either a flat amount or a percentage of the home's insured value depending on how the policy is written. Percentage deductibles deserve a moment's attention: a fraction of the dwelling coverage can be a much bigger number than people carry in their heads.
That's why the deductible is the natural test for whether a claim is worth opening. You pay it either way, so a claim makes sense when the covered repair costs run well beyond it, and makes less sense when they don't. The number itself is written in your own policy, and knowing it before storm season means the claim decision starts from arithmetic instead of surprise.