Most commuters will probably do this - they vote yes and keep their fingers crossed they will be away on a trip during the strike. That would solve their problems. If not - most will come into work because they CANNOT afford to lose their staff travel. What would their options be - buy full fare tickets, fly easyJet or Ryanair and take the bus to and from LHR or move to the UK? It would cause too much trouble for them.
FlexSRS is right about the known problem about commuters - again there are crew who live 20 minutes away from LHR and call themselves a commuter.
I remember some years ago when I worked with a commuter - he had to drive for an hour to the airport - and take 2 flights to get to LHR. Our flight was in the evening and he had been up since 5 that morning - he almost fell asleep on his jumpseat!