Do tech employers that are hiring social media management/ marketing or content creation roles typically ask to see the candidates personal social media accounts?
No, they won't ask to see your personal accounts. They might check them out on their own so if they are private, you're fine
Yes. They often want to see how you brand yourself. If you're not dotting your i's and crossing your t's on your account, what makes them believe that you'll brand them successfully.
What if my personal accounts are full of political stuff or if I want to keep private?
"Two words: dank memes."