I'm guessing it's called StarLink because the design uses a Star network topology: https://en.wikipedia.org/wiki/Star_network
Is that related to StarLAN?
The star-topology read is a fun guess, but the real bottleneck in any 1984-era version would've been the ground stations, not the mesh. Feels more like a nod to that era's centralized comms than a literal network diagram.
This is a great demonstration of why trademarks aren't forever or universal, and shouldn't be.