They might get suspicious if the docs get mailed out of state, and the billing address on the credit cards (which they can easily check, and probably routinely do if in doubt) are also out of state.
Having a FL drivers license DOES NOT constitute Florida residency. Having domicile in Florida for the required duration does. Do you pay state income tax in another state? If you are a Florida resident you don't.
If indeed one has made and supported the appropriate claims with the Florida Department of State, then one has established residency.