The problem of the proof was that we knew that FCT was true, but we had no idea why. A good/elegant proof teaches us something new about how that problem is related to other problems. It isn't just about getting a true/false answer to the conjecture.
> "The problem of the proof was that we knew that FCT was true"
Citation needed.
Indeed, and the computer aided proof discouraged research into the insightful proof a lot of mathematicians think is probably out there to find. "Proved but not insightfully" is a problem status some mathematicians are starting to think of as closer to "open" than "closed", which is a good thing IMO. (I am not a mathematician, though)