I don't think Zimmer's the man for the job on this one.
I don't agree it's for the reasons Natezilla presented. Hans Zimmer tends to use sounds based on the type of movie he's scoring and The Amazing Spider-Man 2 gave off a far greater electronic vibe than most of the movies he scores. Man of Steel, another Legendary picture, has electronics, but he uses them as if it were a live orchestra with pounding power and epic sci-fi sensibilities. He's a master at creating interesting sounds if not always melodies.
That being said, I do agree with Natezilla that Godzilla should be more orchestra based to some extent. GMK's electronic score worked, but that's because Ko Otani came from an orchestral background and was able to apply the same mindset to the electronics. Meanwhile, Final Wars was a complete botch...
Plus... As much as I love Hans Zimmer, he's not the only composer in Hollywood who can produce great scores. (And even he doesn't always do it...) It seems like every producer is after Zimmer and if they can't get him they go after one of his clones.
If Desplat were to be replaced I would want Brian Tyler to take over. He's the closest thing we have to Jerry Goldsmith these days and he's rarely delivered a poor score. He's scored a lot of horrible movies, but given each of them Grade A soundtracks due to his rule, "Treat every movie you score like it's the greatest movie ever made." That's the kind of mindset I'd want for Godzilla. A Brian Tyler Godzilla score would be incredible.
"'Nostalgic' does not equal 'good,' and 'standards' does not equal 'elitism.'" "Being offended is inevitable. Living offended is your choice."