That's definitely not the problem for me. I've watched probably like a dozen Godzilla films or more. Just watched Godzilla Final Wars again like two months ago (awful film). I don't think the majority of Godzilla films are good movies, but they can be pretty fun. I don't have a problem enjoying something for dumb fun even if I don't think it's a good movie either.
The core problem of this particular movie for me, is that it tries to be something, and I can see it reaching what it wants to achieve, but it doesn't get there. It actually massively misses the mark, in spite of the best intentions. Honestly, if they just played up the cheese and made it much more like those 90s Godzilla films, it would probably end up being a much more enjoyable film for me. The problem was that the tone clearly wanted to be a serious character driven take on Godzilla as a natural disaster, like the original. But it also wanted to have the fun of the monster on monster action of the later films. And in the end, I just don't think the script and the casting worked for the most part.
If it were a slow film like it is here but with really good characterization, and Godzilla as a background menace, it could have been a great film. If it were a faster film, with a script just as weak, that would have at least made it less of an issue. If it were a cheesier film, where the characters didn't try so hard to look like they were actually in a serious movie, and it had a better soundtack, I could at least not think so much about it because it's just trying to be dumb fun. But as the movie it is, I think it tries too hard to be something it doesn't succeed at, and the disappointment there takes away from my enjoyment of the movie significantly.