it is the state Franchise tax new to nonresident landlords. Landlording is now treated as a busienss entity operation.
For state income tax, yes, nonresidents will always need to pay tax for CA-related income. If your CA-income is below certain amount (say $~30K -depending on your filing status), you pay nothing.
Franchise tax is a business tax you'll have to pay.
What's not clear to me is how the tax is computed. More importantly, are mortgage interest, property tax and depreciation allowed to be deducted from gross rent? That will make miles of difference.
I know the PM fees, repairs can be taken off (because they are already not part of the net rent) but not sure about the other items.