1. Support requests because site is broken, but it turns out you are using an extension that breaks the site.
2. Extensions are exfiltrating data to the extension owners, against LinkedIn's TOS, and they are trying to protect their users, or rather, they don't want competition :)
OK, that was two.
They aren't blinding probing for any and all extensions, only a specific set, which shows restraint and implies to me they are having a sort of arms race with extensions that scrape contact info.
A cursory google-search for something like "linkedin browser plugin" yields tons of these types of products.
I agree that the goal here is likely to combat scraping, but I don't think we can use this behavior to draw that conclusion. From the article:
"I recommend not using web accessible resources. Out of all extensions LinkedIn finds, a majority of them are due to web accessible resources."
There's no trivial way to get a list of all the user's extensions, so they needed a side channel that they could use to detect them on a case-by-case basis. The only extensions that they can detect are ones that feature this side-channel. Even if Linkedin did want to know all your extensions (which, again, I think is less plausible than an arms race) we would see this same sort of behavior due to the limitations imposed by the browser.
https://arstechnica.com/tech-policy/2017/08/court-rejects-li...
My take is that some motivation comes from LinkedIn seeing which Sales Engagement company they want to buy in order to replace Sales Navigator. Therefore by extension they are probably seeing what extensions people are using most commonly with LinkedIn in order to either beat or buy them.
Linkedin can skew results and obfuscate data to users who are heavily digging for lead data. Remember, Linkedin's main value proposition is that it has a wealth of user-submitted data, and if it loses that it loses some of it's value.