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So Antrim and Monaghan are definites for a new manager. Probables are Down and Donegal but still no word from either county. Tyrone is the other one where it wouldn't really surprise me if they step down.
I'll have a puff of whatever you're smoking there, please. 
Whatever else they do, Dooher and Logan will have been a success. However they are both busy men with careers away from GAA and this is bound to impact on their ability to give the job the time that is required at that level. Combine that with the player drop outs and indiscipline of this season and nobody could really blame them for walking away.
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Pure idle speculation, nothing more than that: they both knew the demands of team management before taking those reins; the seven squad "defectors"

was down to those individuals, and nothing much management could have done; with the All-Ireland winning U20s coming on stream over the next while they'll not be short of panel options.
All in all, I'd say there's zero chance of them quitting in the foreseeable.