By "typical chapel", I mean that it probably looks a lot like any other traditional chapel you might see that was not a restored century old church. I usually go to the low Mass and the church is full but not over-crowded. I would guess (I've never been to the FSSP church in Seattle) that it probably looks a lot like the FSSP church except that you won't see any Conciliar advertisements or hear propaganda about the Archbishop, Catholic Charities, the "Catholic" Campaign for Human Development, or the wonderfully humble Pope Frank.
I have been to two FSSP parishes for the last 7 years. Non of which you speak is true in my experiences. You may have your experiences, but mine are nothing of this sort.
The only FSSP parish I have experience with, and people have told me this is typical, has the Novus Ordo and the traditional Mass celebrated at different times. What is not typical is that the one in town now includes the Anglican service on Sunday mornings as well.
The pamphlet rack at the church entrance has all kinds of diocesan advertisements and the bulletin will often include diocesan announcements.
In any event, I simply don't believe that an FSSP parish is not going to be part of the diocesan fund raising efforts. Perhaps you just didn't go to any of these parishes during the past 7 years during one of the fund raising campaigns.
(In any event, there would have been no talk of Pope Frank prior to just a couple of months ago, let alone for the last 7 years.)