The great majority of N1 shaft zero indications are not seizures but loss of signal integrity. Windmill loads are quite significant on this rotor system
But, you just associated that loss of N1 indication with an engine failure. Since I don't think any engine control requires a valid N1 indication to keep the engine running, you're talking two independent failures if it's not a seized rotor (or other major N1 rotor damage). Most FADEC systems will even keep running without an N2 indication (using a synthesized N2) - a hydromechanical control may not keep it running without N2 - but if that's the case a restart would be impossible regardless.
Unless you're in an all engine out emergency, attempting to a restart with a zero speed rotor indication is asking for more trouble than you already have.