Because the “creative license” was the exact opposite of the character’s portrayal in the original? Because Dumbledore’s calm, reserved manner shows both a sense of control over himself that would come with advanced age and great power, but also that he trusts Harry and believes in him?
Racing across the room, grabbing Harry and shaking him while demanding “DIHD YUU PUT YER NAYM IN DA GOBLUT OF FIYAH?!” makes him look like a flailing loony who thinks of Harry as just another irresponsible dope. Dumbledore is supposed to be one of the only people out of everyone Harry knows (sadly often including his best friend) that never loses faith in him, never waivers in his belief that Harry does what’s right.
Gambon’s portrayal does not primarily show concern for Harry’s life. It’s obviously an accusation, and it’s an accusation that flies in the face of who Dumbledore is supposed to be and the role he’s supposed to fill. (This is clear both from the way he reacts afterwards, and the way he shouts “HARREE POTTARR?!” in an outraged tone when he reads the slip of paper, while wheeling around to stare towards where Harry’s sitting.) When Dumbledore asks Harry if he put his name in the Goblet in the book, it’s not really an accusation. He’s probably 90% certain Harry didn’t, but if he did, oh well, they’ll deal with it, there’s nothing to be done either way. He’s just getting a piece of information he needs before moving forward in a calm, rational manner like he does everything else. Gambon makes Dumbledore look like a chicken racing around with its head cut off.
Book Dumbledore: “Hm. This presents a problem. First, let’s confirm my suspicion that this is an outside plot. Did Harry do this? He says no. Obviously other forces are at play here. I suspected something like this might happen at some point. Still, the enchantment means we must proceed. Best be on the alert.”
Movie Dumbledore: “OMG OMG OMG Harry WTF! WTF, did you do this?! Did you do it?! You didn’t?! You’re sure? Fuck. Fuck! Okay what do we do? WHAT DO WE DO?! We have to go forward, oh fuck, OMG, WTF!!”
People get hung up on the “Did you put your name in the Goblet of Fire?” thing because it’s entirely contrary to Dumbledore’s character on multiple levels. It would have been as if Sean Bean had delivered Ned Stark’s lines as if he were a brazen, shallow and unthinking man mostly concerned with his own pleasure, or if William Mosely had delivered Peter Pevensie’s lines as if he were a timid and quiet child who just wanted to be left alone, or if Johnny Depp had done… almost anything literary involving Tim Burton.