Of course, this time, no-one is going to lose their job as a result of the defeat, and neither should they.
The saving grace for everyone involved is that this will be a story for just a very short period of time before the spotlight switches back to the much more important stuff - the Champions League and the visit of Barcelona on Tuesday.
Nevertheless, you can be sure Neil Lennon will have taken this cup exit worse than anyone else at the club. Every defeat hurts him to the core.
Few managers get the chance to claim a treble. The fact only Jock Stein and Martin O'Neill have managed it with Celtic since the League Cup was put up for grabs in 1947 tells you how tough it is to achieve.
To join them would be a marvellous thing to have on anyone's CV, especially a man who has been a manager for less than four years.
But Neil would also become the first at Celtic to claim a treble both as a player and a manager, which would be a huge achievement.
So, the fact this is the one domestic trophy which still eludes him since he became a manager will be a huge disappointment to him.
Because there is not the challenge from Rangers which there traditionally was, it brings many people to the conclusion it should be easier than ever to claim a treble.
But, as results have shown, that is simply not proving to be the case, not least because Celtic are now very much focused on making inroads back into the European competitions.
Nowadays, such is the unrealistic level of expectation, failing to win a cup is much more of a negative on Neil's record than it would be a positive if he added it to the four trophies he has already brought to Parkhead.
Ironically, I believe that, if the Rangers challenge was as strong as it previously was, there would be more criticism flying about over the Morton defeat because Celtic fans would be concerned the treble could go to Ibrox instead.
None of which alters how bad Neil will feel after watching his side go out to Morton.
He made a handful of changes to the team for this cup-tie because he is concerned about how many games some of his main players have already played, and how heavy a sector of the season they are in.
He was damned if he did make changes, and damned if he didn't, all dependent on the result. Neil has highlighted that a number of players recently recruited are still getting to grips with playing in this country.
After Tuesday, he has concluded he needs to continue to rely on his stalwarts, and that it might be a while before the guys on the fringe get in.
It's a trust thing for a manager. He needs to know he can rely on his players when they are called upon.
Neil has made the point he does not have the massive squad some believe.
The truth is that he does, in terms of numbers - certainly relative to every other club in this country - but not in terms of quality.
It's like what I used to say to scouts: 'Don't tell me how many players you've brought me, tell me how good they are.'
The guys who were given their chance to come into the side and show what they can do cannot come knocking on Neil's door asking why they aren't involved.
They have to go back to the training field and show they are ready to make the step up.
I know they did make an awful lot of chances, won a huge number of corners, and enjoyed a vast amount of possession.
But the only stat that goes into the history book is Celtic 0 Morton 1- and that's simply not acceptable. You might get away with not scoring at home against Juventus or Benfica, but not a side struggling in the Championship.
Neil was careful with his words after the game. He couldn't be seen to vent his anger in public, but you can be sure he had something different to say to the players.
I fully anticipate there will be a positive response when they play Kilmarnock, and a different starting XI.
The tempo will be right from the start, which it wasn't in midweek, and that always makes it tough for any side.
Nobody will be trying to save anything for the game against Barcelona as places are up for grabs for that game.