I think LessWrong is sufficiently seperated from SIAI - most LessWrong members are not involved at all with SIAI, and many SIAI members/advisors/whatchamacallits don't post on LessWrong (I think).

It's not detached yet - it's still to a large degree about SIAI-related interests that are not related to the (excellent) tagline "a community blog devoted to the art of refining human rationality".

There are plenty of front-page promoted posts that are essentially advertising for SIAI, reasons why you should donate all you can spare to SIAI or how-tos on ways for readers to make money to donate to SIAI. Which I can live with - it's no more annoying than the banners on Wikipedia at the end of each year, and it takes money to keep the lights on - but it's not obviously on-mission (taking the tagline at face value).

I think that one day LW should be more independent of SIAI, but it's not a problem that it isn't yet and it can happen at its own pace.