Conte's argument is a valid one but an old one. The FA has never supported English clubs in Europe. It goes back to the beginning of European competitions in the mid 50's. Chelsea won the league in 55 and were not allowed to play in the European cup. I have often wondered if United would have tried to get off that runway a third time at Munich if they didn't have to get back to play Wolves two days later on the 8th of February. If they had stayed over night in Munich they wouldn't have got back to England til the 7th and I believe, but I am not 100% sure that they would have had to forfeit the game against Wolves because they did not get back to England 48 hours before kickoff.
Other European leagues bend over backwards to help their teams. Hard to imagine that Real or Bayern would have to face a tough domestic rival two days after getting home after playing an European game as Chelsea has to do this weekend.
It has been 60 years, it time for the English FA to do something to help English clubs in Europe.