This intrigued me, so I started looking into it a bit more. First off, QuickLook previews of EPS files broke in Monterey, so people for whom this is an issue should have noticed already. I was able to confirm this on my iMac running Monterey, which can open EPS files in Preview but not Quick Look them.
There are two solutions to the problem.
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Download EPSView by Etresoft (this tweet is the only source). Just copy the app to your Applications folder and run it once so it registers its internal Quick Look plugin. You can quit it and it doesn’t need to run again.
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Follow these instructions to modify the Illustrator Quick Look generator to preview EPS files as well. The advantage of this approach is that the Quick Look preview window won’t have so much white space around the actual image.
Could someone who has never installed Adobe Illustrator confirm for me that you have the Illustrator.qlgenerator file? I can’t guarantee that my Macs are clean testbed for this.