Network speed when it grows

Keep thinking about this one, and especially about this calculation:

Some number
10.000 Users → 14 Hops Maximum
100.000 Users → 17 Hops Maximum
1.000.000 Users → 20 Hops Maximum
10.000.000 Users → 24 Hops Maximum
100.000.000 Users → 27 Hops Maximum
1.000.000.000 Users → 30 Hops Maximum

What about the number of average Vaults per user? Isn’t that a variable that needs to be in this calculations as well? Let’s say the average node has 3 Vaults as a standard setting for a PC. The maximum number of HOPS would drop down 7,5 for 1 billion users isn’t it?