Intro will enable LinkedIn to have the IP address of all of your staff using it, and thus (from corp Wifi, home locations of staff, popular places your staff go) they will know which IP addresses relate to your staff members (or you individually if you are the only person on a given IP).
This means that even without logging onto LinkedIn, if you view a page on their site they can then create that "so and so viewed your profile", which is what they're selling to other users as the upgrade package to LinkedIn.
Worse than that, as a company you can pay to have LinkedIn data available when you process your log files, and from that you know which companies viewed your site. And that isn't based on vague ideas of which IPs belong to a company according to public registrar info, this is quality data as the people who visited from an IP told LinkedIn who they were.
Think of that when you're doing competitor analysis, or involved in any legal case and researching the web site of the other party.
And VPNs won't help you here, as you'd still be strongly identified on your device and leaking your IP address all the time.
There are so many reasons why this LinkedIn feature needs to die a very visible and public death, and very few about why it should survive. It's a neat hack for sure, but then so were most pop-up and pop-under adverts and the neatness of overcoming the "impossible" is no reason this should survive.