If you have the time to study for the exam now, before you have the experience/approval from the CA board, then a year or two in the future when you do have the experience, it will make getting licensed in CA much easier. If your experience gets approved, then you will automatically be licensed. If you wait until you have the requisite experience to take the exam, that adds ~6 months to your time frame of getting licensed.
I am ~2 years from getting my SE license in California but I still took the exam in a state that doesn't even recognize the SE license, because I have the extra time to study right now. I'm getting married this year, probably kids soon after, so who knows if I'll have the time/desire to study for several months a few years from now.