This is a really big deal. Currently (IMHO) the US Supreme Court is a wholly-owned subsidiary of multinational corporations due to the shenanigans that happened with Obama, McConnell and Garland, so will likely side with LinkedIn since it's the larger corporation:
https://www.npr.org/2018/06/29/624467256/what-happened-with-...
I feel like siding with LinkedIn here would open up the web to extortion though, like troll companies that would send cease and desist letters to all scrapers (even search engines). I think it could be argued that letting one company scrape when another is denied is discrimination.
Then again, I don't know how conservative and republican-leaning courts decide corporate law. Maybe in this case since so much money is at stake, they might worry that banning scraping would infringe on something like free speech and ruffle the feathers of some of the wealthier contributors in their base. Especially on the media side since I imagine they use bots in one form or another to find newsworthy stories.
IANAL (obviously!), I just find it entertaining/dismaying to ponder these things in these times.