That's not the problem. The revenue model they have is based on a certain amount of usage from the people who do not pay (you, for example), and a certain amount of usage from the people who do pay (enterprises).
If you 100x you usage, then they need 100x the infra, which means they need 100x the revenue.
At that sort of usage enterprises would rather self-host, and github would be left with only the free users, who are almost all like you now - hammering their servers but not paying for it.
If you self-host, for $5/m you can have your own VPS, but doesn't really solve the problem as much as you'd think - those are all vCPUs and shared, so you can't hammer them all the time either because then the provider has to increase their infra as well so fewer accounts share a single CPU.
Either way, if you want to generate code with AI at the speed that an agent can, you'll have to pay for it one way or another.