I want you to know, Sailor_Moon that I used to hate the California as much as you do. Or maybe you love it, but hate how it plays .
I dug through the stats and compared them to the other BB's of her tier trying to pinpoint exactly why the damn thing always FEELS so anemic when I play it. The actual stats surprised me with not being as bad as I had previously thought, so I doubled-down and started comparing it further and settled on the tagline of:
"It's a New Mexico with better accuracy and AA at T7".
The problem is that American HE doesn't pen like German, doesn't bash things like British, and the AP shells don't overmatch as much on a T7 ship as they do on a T6 ship. Further, up from T6 to T7 the ships around it and facing it tend to get faster, leaving a thickums like California still on the slow side of things while it's closest counterpart, Colorado, at least has the nice overmatch potential that comes with 16-inch guns. Colorado even gets a little extra sigma at the cost of slower shells. Toolset_Difference makes a ship feel very different.
So I played a LOT of Cali... or at least if felt like a lot of Cali..
I was pleasantly surprised! I shot HE at long range, avoided taking fights with other BB's when I could, and focused mainly on punishing cruisers that were distracted. The shells tend to have a nice vertical dispersion (outmatched at T7 only by Florida and Prinz Heinrich at around 16km), so I would routinely smack them around.
It certainly isn't a carry-ship. There are some boats that just aren't going to shoulder burden like others can, but I decided I didn't hate her playstyle as much as I did when it was released.
I am missing that it originally had nice secondaries before release. That would have been such bait for me