2) It does sound like your app is more general, like you say, similar to browser automation tools or AutoHotKey. The user requests are not coming from an IP you control. Remove references / examples to LinkedIn for sure. This is basically what they are asking you to do. Talk to a lawyer
Side note, I thought LinkedIn lost that case on appeal, and after being sent back down from the Supreme Court for re-evaluation.
https://www.zdnet.com/article/court-rules-that-data-scraping...