I’m from SC — and NO you don’t. SC doesn’t register by party, snd one is free to vote in either party primary (but not both).
Of course, Democrats in SC and elsewhere can find a way around that little technicality I’m sure.
I was in Texas in 1984 and voted for Jesse Jackson in the primary. I was quite proud of myself at the time. Now I’m getting a bit a cold plate of revenge served to me, I’m afraid.