The meat of the moogle fight as you put it is the part between after the song and when the 2nd/3rd add is dead, most LS's using the exploit can kill 1-2 adds max before loosing control meaning they never really overcome the hard part of the fight.
The difference between surviving/controlling the fight normally the way it was intended and the exploit way is seriously night and day and unless you have killed it the way it was designed to be killed you probably wouldn't realize how much of a difference the exploit makes.
The fight is designed to be killed in 1 go that is why when all 8 people die you get automatically kicked out of the instance, if the fight was intended to have a reraise type tactic involved than you would most likely have time to raise up before it removed you from the instance.
Id agree with the Batraal thing but id say the main reason there was no outcry was simply because from what i remember none of the early kills used that way to kill him and most if not everyone just killed it the normal way, the problem now is that quite a large number of LS's are using the exploit way to kill the moogles because simply put it is significantly easier and removes alot of the dps requirements from the fight.