Despite its name, TST is not affiliated with the Church of Satan
I find it really funny that they need to call this out given the thousands of different Christian churches that all have varying degrees of affiliation or animosity with each other and often nearly indistinguishable names.
Oh yes of course there's very good reasons for the different organizations. Personally I've been a bit turned off by some of the stuff TST has been doing and more interested in the Global Order of Satan (GOS).
I just think it's funny how Christians don't seem to have any problems separating (and feuding against) the hundreds of thousands of different denominations, many of which have nearly identical names. But two different organizations with 0 words in their name in common is apparently too confusing for them to handle.
But it's really weird and sinister to even bring up the Church of Satan. The Church of Satan purposefully does not publish numbers, but the best estimates I can find have them peaking at 300 members. They haven't been relevant since the 80's when LaVey got in front of the media during Satanic Panic. TST might have more congregations than CoS has members.
It would be like saying "the Roman Catholic Church, which is different from Christian Scientists".