The biggest issue with going from a home machine to a server is that you may lose having a "residential IP address", which is something that you'll want to have in order to prevent automation from being blocked outright. Hence the popularity of residential proxies. However, some servers live in a residential IP space, which makes them optimal for running web automation in. As was partially covered in
https://www.youtube.com/watch?v=Mr90iQmNsKM, GitHub Actions appears to live in a "Residential IP space", which makes it a good server choice for web automation.