The bigger issue is that you'll then be paying at least $300/hour for their services. So now you're burning money to have this conversation just so the FBI can fantasize about being heroes.
Don't talk to the police without an attorney is good baseline advice, but also misses the mark in many ways. Any way you look at it, getting into government crosshairs (whether it's merely civil questioning or a literal gunsight while being used for target practice) is a perverse reverse lottery that survives because of regressive politics and the just world fallacy. And this won't change until there is reform that fully compensates suspects/witnesses/etc for their time, expenses, and other damages incurred as a result of erroneous law enforcement.
FWIW as much as I hate the term, having a relationship with an attorney that you could call for urgent representation is a form of privilege.