What are you babbling about now?
If you think questioning the physical, bodily resurrection of Jesus Christ, as Mueller does, is “doctrinal hair-splitting”, I don’t see how you would consider giving Holy Communion to unrepentant public adulterers as a problem.
Whatever you call it, folks (sspx, trads, whatever label) who believe (’still believe’?) in the literal Resurrection may be the real salt of the earth that may renew the Church not by all their yammering and blogging and arguing, but by their devotion, because it’s the Grace of God that will bring the renewal, not internal apologetics.
The Tridentine mass is everything, Christ on earth until the end! We are losing the essence of the very thing to cling to. Leave the theology to the big guys, because we cannot win in that department. So teach children and friends, don’t dictate to bishops. By letting go of egotistical insistence on being “right” about everything from beeswax to dogma, and simply, childlike, clinging to The Sacrament, God will reward that beautiful devotion by HIS grace.
The “true” faithful (sspx, trads, tridentiners, whoever, I dare not presume to guess) will not see their hopes realized by working in opposition to the hierarchical human organization that God cleverly interwove beyond recognition (to make it hard to leave) with his divine living Church.
By ‘hair-splitting’ I meant the fatal fault of concentrating on a tiny thread and missing the weave, weft, pattern and silken loveliness of the whole tapestry. The Church needs and yearns for both!