Not OP, but in our case allowing essentially the entire company to start to use GHA would result in a huge load increase on our GHE deployment. Even with self-hosted runners per org, there is a lot of overhead that is ran on the github servers themselves. We are working towards rolling it out, but there are definitely some scalability issues.
If off-premise is an option for you I’d like to suggest a service I run called SurplusCI (surplusci.com). It’s cheaper than self hosting most of the time and is SHOULD be roughly zero toil for you.
Ah you're absolutely right -- I mistook the "overhead" as running some actions on regular GHA but they were talking about overhead on the on-prem runners that already exist.
Yeah it's pretty unlikely that they're running GHE for any other reason than needing to keep everything on prem.