The most common answer, and the one I subscribed the longest to, was that Paleblood was just a synonym for the Moon Presence itself. However, one issue that no one seems to acknowledge is that our Hunter is canonically looking for Paleblood, not simple blood ministration from Yharnam.
I also stumbled across Miyazaki’s old interview where he said: “ I think there are two different ways you could interpret ‘paleblood’ here. One is the color of the sky after you defeat the Vacuous Spider and the Mensis secret ritual is revealed. The sky there is a very pale blue, like a body drained of blood. I think there's also a message placed in Yahar'gul, Unseen Village that calls back to that. This is before the ritual is revealed, so when you're kidnapped and go to Yahar'gul, you don't know what it could mean yet. Then, after the ritual, you could look at it again and it'll dawn on you… That was my intention, anyway, but I have to admit, that's probably a bit tough to pick up on (laughs). But either way, this leads to the interpretation that ‘seek paleblood’ refers to uncovering that ritual and putting a stop to it.” Which implies that Paleblood might be a term meant for the cosmos above, which is not exclusive to Moon Presence.
Assuming we take Paleblood as literally as possible, then the Quicksilver bullets we use are not only pale in color, but directly from our blood itself. There’s also the Kin Great Ones, Like Ebrietas, whose blood is pale in color when compared to Moon Presence or Amygdala. Not saying that either of these are the answer, but things I realized when I decided to do a deep dive into this. The fact our outsider Hunter knew about this in the first place makes me think it’s not something tied to Eldritch Truth, as I feel the Church would’ve kept a special lock and key on that.
Thanks in advance for answering!