Hopefully you lot will get a better reply to submitting your patterns than 'The FMS software says the pattern is fine, so you can fly it' which is the stock standard reply CC get when querying questionable rosters/trips.
Also if you do the above they then in some cases come back at you with every time you used your company discount card on days off, down to the time of day/night and ask why you were not resting then if you are so 'tired' (they have no clue honestly)
But I agree circling back to the OM-E mandating requirement to be fit for duty usually gets them off your case for a while at least.