Working on converting websites to .Net Core and my understanding is .Net core has a bunch of performance improvements.

I have a bunch of generic libraries I have that can be converted to .Net standard pretty easily so they can be shared between the newer .Net Core and legacy Framework libraries.

I am just wondering with Standard libraries are included in .Net Core projects will they get the same performance benefits?

Just trying to see if there is any reason to make shared libraries and nuget packages .Net Core instead of standard.