Knievel77
Really down to who gets the aircraft de-ice rig first!
ATC usually are not that fussy - within reason they will take who ever calls ready to push (subject to slots of course.) With holdover times being quite short in snowy conditions the operation needs to be well co-ordinated or further delays & costly de-icing will be incurred.
Airlines may make a play for preferrential treatment if crews are nearly out of hours but normally its first ready, is first served.