I think that was a big part of the problem for some with Gotham's rookie season, I think people kept trying to pidgeon hole it into some type of show that is clearly wasn't trying to be.
And, it took a while (if you took around) to accept what it was going for. It was dark and campy. It was a police procedural and a crime drama. It was a Batman origin tale and a Gordon centerpiece.
It was many things, and nothing exceptionally well except being Gotham.
I think the only problem I have with this reasoning is that it'd mean you could retroactively go back and watch the early episodes again and they'd be better. I think the show didn't even know what it was trying to be outside of a few characters, initially.
I think the show's small, early success is rooted in the Harvey/Gordon dynamic and the Penguin. With Harvey and Gordon, we're watching Gordon emerge as the paragon who elevates Harvey, a good cop that has been in a bad situation for too, too long. However, this dynamic is established early on and doesn't really develop over the season. The characters are mostly the same from episode to episode and even the differences from the first to last episode in terms of character development isn't huge. They rely on each other more, no doubt, but Harvey doesn't do anything inconsistent with where we met him in the pilot, either, for example.
The Penguin, especially early on, is the main actor in the show. He is the one who actually pushes the story forward and causes change within other characters. He's also one of the few characters that actually really grows over the course of the series. We meet him as a sniveling underling and he really becomes a monster once the season is over. However, even that progression is too slow at times and too fast at other times.
As for the other characters on the show, they're mostly failures. The entire Barbara character is so bad that I'm almost inclined to believe she was purposely written as such to make the viewer accept a rather quick and unearned heel turn. Everything that touches this character is poison for the show, including Renee Montoya and the inconsequential and unneeded lesbian relationship angle. You can tell the writers even realized how bad this arc was as they jettisoned it completely towards the middle, retiring the Barbara character for a few episodes and the entire Internal Affairs subplot completely, to basically reintroduce Barbara for the aforementioned unearned heel turn.
Most of the villains of the week don't work either, in terms of a real or imposing threat. The best of the early villains is Balloonman (who is only good in contrast to early characters), then it plods along until we get to the Goat, and then it plods along until the Ogre. Everyone else is mostly inconsequential.
There are a few highlights to some of the other characters, for sure. I especially liked the actor they got for the Jerome role and the Carmine Falcone actor is definitely capable of portraying that old-school, almost-respectable mobster type. Fish is polarizing, for sure, but I did end up enjoying where they went with the character, even then, her arc is kind of contrived and, if she doesn't show up in Season 2, a bit of a waste. She would have been a good bridge between the different version of Catwoman if they had gone for the full mentor role for Selina. I like the rougher Alfred and the actor playing Bruce is perfectly competent.
I guess my point is that I do accept the show for what it is and on its terms, but it is so inconsistent and the good stuff is so buried in inconsequential crap, it just isn't worth it for me.