According to every count that followed the rules of voting that were in place in Forida at the time.
I don't disagree that the ballots they used were terrible and the rules were bad. But you can't change the rules after the fact. Both sides agreed to use the ballots as they were designed before the election took place, knowing there were problems with the design. And they were counted according to the rules. There is nothing you can do to change the outcome that doesn't involve breaking the rules that were in place at the time. And counting ballots in violation of the rules may demonstrate how bad the rules were, but it can't change the rules. All you can do after the fact is show how the rules and ballot design are flawed and make changes going forward.
But given all that, even though there were bad rules and flawed ballots, there is no guarantee that a better system would have altered the outcome. The only thing that came from those illegitimate recounts was a deliberate obfuscation of the issue because every organization questioning the election after the fact had an agenda. Hell, the way you physically handle punch ballots while you're recounting them can change a chad from being dimpled to being partially removed or not. And partisan counters are good at handling ballots. Changing the rules and then doing a recount is not relevant for anything but proving how the rules needed to be (and have been) changed.
So yes, the rules were bad. The ballot was a flawed design. It's impossible to know for sure because of that what the true will of the people really was. But if you follow the laws and rules in place at the time of the election there is no question how the count came out. Fortunately, the rules changed dramatically and many of these problems went away moving forward. But there will always be a shrill fringe that would never be satisfied with anything short of a complete reversal regardless of the rule of law.
Could the election have been done better by having better balloting in place? No question.
Would it have changed the outcome? Hard to say.
Could a legitimate recount have changed the outcome? Not one that followed Florida election law.