Using Log in with GitHub shows the following, which mentions a Cursor employee and doesn’t show a Cursor logo. I’m not familiar with the details, but I would expect this to look more official. No offence Michael 
Thank you for sharing this!
This isn’t at the top of our list, but I’ll ask around to see if we can get a new GitHub App created.
Unfortunately, I believe the best path for a more official look (creating a new GitHub App under our official GitHub org) will require existing users to reauthorize. However, that shouldn’t be a reason not to do something here.