Comparing Windows and Linux Stability
johndcook.com
johndcook.com
I have empirical evidence. Worked on/wrote an OS called CTOS in the 80's, ran on desktop machines and on 'large' servers of 8 processors. We got an award for the stability of our release after we ported the desktop latest version to the server. Record small bug reports/tech support issues. Simply by updating to the latest code. Desktop still was perceived as being buggy, but only because it rand 100's of apps, not just the same half-dozen.
That being said desktop Linux stability (Ubuntu/Mint) is a bit of a joke. Ubuntu is the worst offender, and tends to change drastically between versions. (On a side note Fedora is stable as a rock, but is very boring)
This has been my experience, different people likely would have different outcomes. I've never had to restart any of my linux servers.