Does Firefox have a similar weakness?
[1]: https://developer.mozilla.org/en-US/docs/Mozilla/Add-ons/Web...
[2]: https://developer.mozilla.org/en-US/docs/Mozilla/Add-ons/Web...
Firefox isn't susceptible to that, because that's not how Firefox and addons.mozilla.org work. Chrome, as it turns out, isn't susceptible to it, either, because that's also not how Chrome and the Chrome Web Store work. (And that's not what LinkedIn's fingerprinting technique does.)
(Those randomized IDs for content-accessible resources, however, do explain why the technique that LinkedIn actually uses is is a non-starter for Firefox.)
Edit: Can't find much documentation on exactly how the anti-fingerprinting works, but this page implies that the browser blocks extension detection: https://support.mozilla.org/en-US/kb/trackers-and-scripts-fi...
Which would probably wreak havoc with a lot of web apps, at least requiring some kind of same-origin policy. And maybe it messes with OAuth or something. But it does seem at least feasible.
Browsers already have strong protections against that sort of thing, look up the same-origin policy and CORS