There has been work on performance and more to come (source: ASP.NET Community Standup podcasts). The stated goal is to be in the ballpark of the top performers. You can follow the progress here:
Very happy to see a focus on performance on the roadmap.
I've actually seen that benchmark page, but all the results it lists are for the Web Server running on Windows (perfsvr), where Linux is only used for load generation.
Any idea if the results are similar with the server running on the Linux machine (perfsvr2)?
https://github.com/aspnet/benchmarks
Just keep in mind that the work just started (and it was recently put on hold to get the Linux version - beta 7 - out the door).