You think The Last Psychiatrist is performing Rationalist culture? I hadn't noticed such a relationship, and at a moment's consideration I still don't notice it, and if you really do think that, I'd appreciate any evidence you can point me to.
I do think so; hard to prove if reading the content isn't argument enough. One fact is that TLP is the third link on the left-hand blog roll on SSC's website, so there's at least a one-way relationship. Anecdotally I remember reading something by Scott Alexander that mentioned that TLP was part of the LW community at one point, but I can't back this up with links.