I'd think there's a possibility that ATC/ATS might ask of pilots that they're in direct contact with, "who's first".
But I can't imagine they'd call an Ops centre for the info, as it'd be too hard to get through for one thing!
more likely any impact has been addressed, mitigated or completely overcome by diligent Operations Control staff without crews or more importantly the customers ever being aware of any 'problem'.
I wish you worked with my mob!