Chelsea are more ruthless with their personal actions. I can certainly think of more Chelsea players who were deemed surplus to requirements at the time and went on to have good careers elsewhere. Chelsea have also enjoyed many periods of success over the past 20 years, so their players often come with championship experience. Chelsea generally quotes reasonable prices and is willing to move quickly. And, there's the possibility you can get a better price if they/their family feel settled in London.
Don't get me wrong, I hesitate when I see those links and am personally lukewarm on Havertz (especially with the fees being thrown around) and Jorginho (had a couple of great games for us but seems like a short-term gamble that will come out to a small loss). But I can see why we've targeted their players, more so than other teams. I see Luiz as a success and Willian as an avoidable mistake, so our record is decidedly mixed.
I think focusing on the "reject" label is misguided (with any team). Better fits can unlock talent, which is almost always there. But I definitely understand why people have paused over the specific Chelsea players we've been linked with (and followed through on) in recent years.
It might hurt us on the pitch but I think selling him for a reasonable fee this year is the way to go. When he's on, he moves our team up a level in a way that will be hard to replace. But the mix of his injury record with us, periods where his levels dropped quite noticeably last season, and the legal troubles that will continue to hang over him mean that this might be a good time to cash out on him, especially if we're trying to overhaul our midfield and if there's a market for him. We might lose out on the short term (experienced player and his fee probably won't match his worth) but it could make it a forward-looking move if we get someone young with strong potential.