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Linux vs Windows tested in 10 games - Linux 17% faster on Average
(video.hardlimit.com)
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Linux is a family of open source Unix-like operating systems based on the Linux kernel, an operating system kernel first released on September 17, 1991 by Linus Torvalds. Linux is typically packaged in a Linux distribution (or distro for short).
Distributions include the Linux kernel and supporting system software and libraries, many of which are provided by the GNU Project. Many Linux distributions use the word "Linux" in their name, but the Free Software Foundation uses the name GNU/Linux to emphasize the importance of GNU software, causing some controversy.
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With proton the benefit can be +/- by quite a large margin to the point where I wouldn't rely on this data to say that Linux is faster by default. Though it's promising that Linux CAN compete with windows in performance despite the added layer of abstraction necessary to run many titles.