What? No. God, no. Not in either edition.
The Seers aren't the youngest Order (for obscure data purposes, that's actually the Arrow) but they're firmly in the middle. The first Ministry to call itself a Ministry was Hegemony in the Italian city-states around the 16th century.
Up until then, they were either heretical members of other Orders who thought joining up with / serving the Exarchs would be a good idea, or Nameless Orders of same when they expended the Diamond's patience. Modern mages call the Roman Praetorian cult "the first Ministry" but it was really just the first of those groups, who declared themselves separate to the Diamond while the Diamond was still forming.
Seers (and their precursors) have the advantage of getting top-down organisation anyway, in Mystery Commands from the Exarchs. They really took off after Hegemony introduced the Pyramid to hammer all the disparate cults into a system for disseminating orders from on high. And orders from on middle that those giving them like to say are from on high.
Ultimately, some infighting is good for business. If it's important, and enough Prelates with Commands to sort it out don't work, an Ochemata will manifest to smack some discipline into them.
And that's why the Seers have a truly global organisation rather than the Allied City-State model the Pentacle have. Not because they all started out in step - they got that way over many centuries of blood, sweat, being stomped on by the Diamond, and tears.