I doubt it will affect long-term bookings but certainly short-term bookings will suffer. Passengers have short memories! How many can tell you who they flew with and often they don't know who they booked with either. If MYT are still around in a month or two the passengers will forget the news or figure the problems are over. They are used to these kinds of shock losses with UK companies and seeing them survive.
However, your write the short-term bookings will no doubt go through the floor. The press will have a field day with this and no doubt drive the company out of business!
ruptime
With Easy jet getting 120 new aircraft over the next few years with options for more and the start of several other low cost operators, I fear the long-term outlook for the holiday industry is bad even with the possible departure of MYT.