Pagan: "I intend to do this thing that the Catholic Church does, this Baptism thing. Just a bunch of mumbo jumbo, but I'm doing it to console these people who are distraught."
I hold this to be valid.
Do you?
It's valid because they had the intention to do what the Church does - that's enough.
Correct. WHAT the Church does.
He's intending to PERFORM THE CEREMONY and nothing more. So intending to PERFORM THE CEREMONY suffices for validity.
No. There are two issues at stake.
1/ Intention: To do what the Church does = perform the ceremony (whatever it signifies)
2/ Signification: What the ceremony signifies the laver of regeneration
If they merely perform the ceremony for the ceremony's sake alone - Nego
If they perform the ceremony for whatever significance that is attached to it - Concedo.
Do they need an explicit understanding of the signification ? - Nego
Must they have confused sense of doing whatever the thing signifies ? Concedo
With these qualifications I accept the case you presented since I believe if fits the criteria.