My guess is their sales pitch would be for you to run your own instance of Github Enterprise or doing something fancy with Web Hooks. At work we did the former

My guess is their sales pitch would be for you to run your own instance of Github Enterprise or doing something fancy with Web Hooks. At work we did the former for a while before switching to Gitlab. We had less downtime than Github (not that they have much) but since the ops is on you in that situation, YMMV.