Abuse over celebrity for Harry Potter: Did Dumbledore choose correctly?

‘[...][Harry'll] be famous – a legend – I wouldn’t be surprised if today was known as Harry Potter Day in future – there will be books written about Harry – every child in our world will know his name!’

‘Exactly,’ said Dumbledore, looking very seriously over the top of his half-moon glasses. ‘It would be enough to turn any boy’s head. Famous before he can walk and talk! Famous for something he won’t even remember! Can’t you see how much better off he’ll be, growing up away from all that until he’s ready to take it?’

_{Philosopher's Stone - pages 15 - 16 - chapter one, The Boy Who Lived}

Did Dumbledore choose correctly?

Knowing what we do about Harry and his canon character attributes (And faults, too!), was Harry really better off enduring eleven years of physical and emotional abuse at the hands of the Dursleys than eleven years of celebrity and fame in the wizarding world? I'm sure we've all read about child celebrities who have done well handling fame, and some who have not fared so gracefully.

Would Harry have endured celebrity as stoically as he did the Dursleys' abuse? Did Dumbledore make the right choice in leaving Harry with the Dursleys instead of letting him grow up in the wizarding world?

Was Harry really better off?

ETA: I'm looking for an answer grounded in Harry Potter canon and written in the spirit of canon. Please do not pair Harry with Elle Fanning or opine that he's secretly an American ;) Thanks!

Answer

Dumbledore himself happens to have explained this to Harry in Harry Potter and the Order of the Phoenix. Dumbledore tells Harry that he knew his decision was between abuse and celebrity. He then goes on to say that he believes the choice he made - for Harry to stay at the Dursleys' - was the right one.

The Choice

“Five years ago you arrived at Hogwarts, Harry, safe and whole, as I had planned and intended. Well — not quite whole. You had suffered. I knew you would when I left you on your aunt and uncle’s doorstep. I knew I was condemning you to ten dark and difficult years.”¹

Not really a choice

“You might ask — and with good reason — why it had to be so. Why could some Wizarding family not have taken you in? Many would have done so more than gladly, would have been honored and delighted to raise you as a son.
“My answer is that my priority was to keep you alive. ..."¹

Dumbledore had no other choice at this point², the Death Eaters were going to be after Harry. He also believed that Voldemort was not truly gone; that he would return and seek to kill Harry.

So the protection of Lily's sacrifice out-weighed any other option for Harry's safety. For what wizarding family could protect Harry if Dumbledore didn't believe that even he could:

I knew that even my most complex and powerful protective spells and charms were unlikely to be invincible if he [Voldemort] ever returned to full power.¹

The Outcome

Dumbledore goes on to explain that he is proud of the way that Harry turned out:

“Five years ago, then,” continued Dumbledore, as though he had not paused in his story, “you arrived at Hogwarts, neither as happy nor as well nourished as I would have liked, perhaps, yet alive and healthy. You were not a pampered little prince, but as normal a boy as I could have hoped under the circumstances. Thus far, my plan was working well.
“And then . . . well, you will remember the events of your first year at Hogwarts quite as clearly as I do. You rose magnificently to the challenge that faced you, and sooner — much sooner — than I had anticipated, you found yourself face-to-face with Voldemort. You survived again. You did more. You delayed his return to full power and strength. You fought a man’s fight. I was . . . prouder of you than I can say.¹

The Outcome - Explained
There is evidence that Harry's greatest strength was his character^{3, 4}. This is crucial, as the story sums up how Harry's overwhelming love is what conquers the hatred of Voldemort.

Harry endures hardship and suffering, mainly at the hands of the Dursleys, and in turn becomes a patient and caring person. He is often called "remarkable" and "exceptional", and not just for his feats but for his character:

[Dumbledore]: "I never dreamed that I would have such a person on my hands. ..."

...
"Young you might be, but you had proved you were exceptional. ..."¹

We see this right from the start where he refuses to befriend Draco Malfoy⁵ and instantly becomes good friends with Ron Weasley.

Harry is on many occasions compared to his father, and are quite similar, but what James didn't have was that same selfless character which Harry possessed - right from his early life. Would James have done the same things that Harry ends up doing? Would Harry have done the same thing if he had grown up a "jock" like his father?

At the end Harry chooses his friends and family over himself⁶ - a choice that not every person could or would take. This is what makes him special.

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^{1. -Harry Potter and the Order of the Phoenix, Chapter Thirty-Seven (The Lost Prophecy). [All emphases added are mine]}

^{2. As pointed out by Zibbobs}