That being said, for scraping purposes, you can almost always build the scraper with HTTP requests only. Sometimes it might be hard but theoretically it is always possible (it is what the browser itself does right).
Yeah, I agree, the functionality of the library is very rich so the focus now for new docs is to continue making it more streamlined and easier to navigate.
Crawlee is basically a big wrapper around open source tools like Puppeteer, Playwright, Cheerio (I would not call these crawlers though as they don't have any logic for enqueueing requests etc.)
LinkedIn is one of the most protected websites out there so you always risk getting the account banned. But at small scale, it should be fine. Crawlee has support for Playwright + Firefox with statistically generated fingerprints (you can also pass your own fingerprint) which looks pretty human-like. Put some random sleeps in between actions so it looks like you are actually using your mouse.
To send emails, you can use any 3rd party tools, check out Apify as Crawlee is well integrated there and they have email sender easy to use.