Oh, weird. If you come into their site from https://store.auroraoss.com/, it says, "To use Aurora Store, you need to have a Google Play account, and log in to your Google Play account when you first open and configure Aurora Store."
But if you just go to https://auroraoss.com/, it says, "...without needing a Google account."
Searching for Aurora earlier, I was getting sent to the first link.
Thanks for your suggestion, it's working great when installed via the Aurora store, without any GSF or Google Play Services!