The description of SameSite isn't correct. I have some notes on that here: https://simonwillison.net/2021/Aug/3/samesite/#samesite-cook...
This is really good advice and has bitten me in the past, I think as someone who is new to this it is tempting to avoid the term "Lax" but you might end up with some surprising behavior if you go with "Strict" as your default.
I also attempted to make sense of it all and created https://samesite.diduthink.com