Is there anything a user could do to switch a common "corporate laptop" profile, either manually (set this resolution, these fonts, etc) or via an extension.

I know about Privacy Badger and they provide some protection but not from all fingerprinting. Their statement about is:

https://privacybadger.org/#Does-Privacy-Badger-prevent-finge...

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Privacy Badger can detect canvas based fingerprinting, and will block third party domains that use it. Detection of other forms of fingerprinting and protections against first-party fingerprinting are ongoing projects.

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