I dont think it does, in the same way that a family member cannot contribute to a Threashold without actually Living behind it. The "Family to Church" analogy is that no matter how Paramount Family is to a person, that one person cannot build a strong threshold alone, even if they are part of a massive dynasty.
Im not saying that being declared a House of God doesnt impart some sort of protection (though to the best of my knowledge there's zero evidence), but if it operates the way you describe I think it's not a Threshold anymore, but rather some other Sanctification effect.
House of god is a bit more an ephemeral idea than 4 walls though. I see it as a collection of all the faith of all the believers everywhere. People who go worship as 'sons of god', who 'live with god' everyday no matter where they are, ect. They are all connecting this as the earthly representation of where they go to dwell with god or where he himself is always to be found.
You know, when you start to look at what makes a threshold stronger, it comes down to those things TWG champions, especially love. That's one reason I've never found it a big stretch Mouse could use either. Either contains a threshold, The temple was just an augmented by angelic power dwelling there one. That's the only quantifiable difference. In which case it's as you say, and the fact TWG or any other associates live there effects the very nature of what's absorbed from them to the threshold, amount of transfer, ect.
*and anyone who wants to claim this isn't about DF religious activities, for shame to you :@