Yes. This. My kid took a 2020 test at Prometric and was by far the youngest person there. The other test takers seemed to be taking medical and other professional exams. Definitely no other SSAT testers.
My kid was allocated a locker to put clothes, snacks and water. The main test room (I could see it through a window) had cubicle type desks with barriers between test takers. I wasn’t allowed to talk to my kid between sections, in fact, I’m not even sure that my kid came out between every sections, just plowed through.
The administrators checked paperwork VERY carefully before they would admit anyone for a test. It felt more way more thorough than an airline checkin/TSA, so make sure you double check the paperwork that you need to bring with you. I brought backup documentation since the passport photo was quite old.