Personally the biggest advantage .NET core has for my situation is that it creates a pool of programming talent and mindshare that I'd now be open to hiring and working with on projects that can now be made with open source tools in a sane environment.

I don't think it would be my go to choice for projects currently, but its an option I would happily consider and I give Microsoft a lot of credit for moving in this direction.

That being said so far the reasons I've had to look at it were modernizing older .NET projects and last I looked there were so many incompatibilities be between .NET core and .NET standard that the projects would have been almost complete re-writes, somewhat of nullifying its advantages against other choices, but that was a while ago.