Sure, it's nice that you can technically handle it, but to me it sounds like at that point something has gone absolutely horribly wrong in the way you set up your agents. Last time I checked, GitHub was intended as a platform to upstream finished work items, not a realtime cross-agent chat channel.
Handling thousands of git pushes per second implies thousands of issues, thousands of PRs, tens of thousands of comments, thousands of Actions runs, and dozens of releases. How's that part of their infra going to scale?
How about introducing rate limits instead, nudging people to not have agents push every individual single-line changes to GH, but instead have them collaborate as a local cluster and only upstreaming PR-sized chunks of finished work?
If you still need thousands of pushes per second you'd be looking at millions of lines of code, and at that point you're looking at an insane monorepo which is growing at a rate of terabytes per day, and which basically instantly becomes unusable due to being impossible to clone or check out.