To answer the authors question: lower number ASNs are seen as older more established networks when negotiating peering. It's the equivalent of doing a WHOIS on someone's personal domain and seeing when they started seriously internetting.
Obviously shorter numbers are more memorable and easier to type frequently, which is a desirable trait for network operators.
You probably spent a few bucks on "fly.io" and applied a mental value to the outward perception of a short memorable domain.