We've done this one a gazillion times too. Ignatius didn't NEED to have a proper name for it. It still leaves open whether one could say: There was an entity which later took as a "proper name" an attribute of itself.
My child didn't have a name until she was born. That doesn't mean she didn't exist until she was born. That's how I'd approach the issue.
And the whole "proper name" thing is weird when it comes to us Calflicks. I'm actually a member of "The Church of Richmond, Virginia". Yes, I have a hard time with that too .... :-)
I hope you are doing well after your surgery. I also hope the Vicodin isn't causing you, or me, confusion. :-)
No, Ignatius didn't need to have a proper name for it and he certainly didn't call it the Catholic Church. That was my only point.
I used to be a member of a Church called "The First Religious Society". Since it was a Unitarian Church calling it "Religious" might have been a stretch. :-)
Once again, I hope you are doing well.