CSU -> CC -> UC - Unit Cap still applicable?

I’m a Computer Science major attending San Jose State University (currently a freshman), but I haven’t enjoyed my stay as much as I thought I would. I’ve been considering the possibility of going back to a CC after this year to possibly transfer to a UC (I’m considering Davis right now). However, I’m afraid that the unit cap will still affect me by the time I would apply to transfer. I’ve taken 9 units of college courses already when I was in high school, so I think that I’m bound to exceed the unit cap. My question is would I still be affected in any way by the unit cap even if I only attend SJSU for one year?

As long as all you have is lower division, which appears to be the case as you are a freshman, you are not in jeopardy. You can take as many LD as you want and the unit transferred will top out at 70, with the rest giving you subject credit.

Would this be the same case if I were to transfer directly from CSU to UC?

Yes.