Don’t worry, it’s just fearmongering because the cannot fingerprint your browser and want you to turn of the privacy features.
Hi, developer of the site in question here. That popup exists to warn users that the fingerprinting protections, namely farbling, can cause minor amounts of visual noise to appear in their art. For a pixel art editor, this is not desired, and I received many bug reports about the behaviour, which lead to the popup pictured.
NeedCoolerShoes does not have any fingerprinting in place, and utilises only a privacy friendly analytics tool called counter.dev, where site analytics is public for all to see: https://counter.dev/dashboard.html?user=Moxvallix&token=d7TgWkme7Jo%3D
From I have found on Mozilla Support:
Random data is introduced to background images when the website reads back the image. If a website merely renders data to the background, it will render without alteration. Although typically this does not happen, if the website reads the image data in the background (and potentially displays it to you again), it will have subtle noise that may affect how the image is displayed.
Anti fingerprinting often slightly changes lots of things, including how the browser displays content so that's why.
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