What we see now is I suspect to be the new status quo in the Middle East. Neither side looks like they have any desire to succumb to the demands of the other and to do so would be a national embarrassment.
Once this storm blows over and the outside world witnesses that it is 'business as usual' in Qatar, then life will continue. The gaps in the food supply chain seemed to have been filled in with Turkish and Iranian produce and the airline is still flying. QR offers a decent product out of a decent hub which is nearly always priced at a level that is more competitive than its Gulf neighbours. People will still continue to fly with them. If delayed and disrupted passengers are being well looked after then it might prompt them to consider flying QR again perhaps?
If the US was to move out of Qatar then we would not be seeing Tillerson and Trump giving such mixed messages about Qatar. There is the order for 70+ F-15 airframes that is being finalised at present plus the myriad of other future trade possibilities. Money talks at the end of the day.
We now have a more divided Gulf region and it looks like that it is here to stay. Perhaps the real winner here is Iran?