That translation is a bit odd. If you go to the link after the bold part all the prologue in question says is:The blog post is in the OP. SIU refers to the prologue in reference to ring-bearers being princes.
"If you've been reading Tower of God, you'd know officially, there is no prince who has Zahard's blood.
Formally, only Princesses who have been injected with his blood exists.
But besides whether Wangnan is really a prince or not,
he has something to do with Zahard for sure ^^;
As they're 'Princes' as stated in the prologue for season 2,[1]
The stories of those with the rings (Wangnan, Karaka, etc.) shall be revealed as we go on."
He does not include Baam. This confirms the prince in the prologue is Wangnan.
And the only stated prince in the prologue has the episode named after him. As a prince of Zahard.
I'm not sure I understand your distinction for princesses. No one contends Yuri isn't a Zahard princess. No, not by birth. Most likely same for Wangnan. But Wangnan by the same standard is just as much a prince as Yuri is a princess. Which is, by the Tower's governance is concerned, 100% established as accepted as a fact for the later.
Wangnan is just not 'officially' a prince. He's unofficially a prince because even though he bears Zahard's blood, the Z empire tried to cover up his existence (unlike with the princesses) and doesn't officially recognize him. That doesn't make him any less of a prince. They're just pretending he doesn't exist.
So it's begun. I'm more nervous than the time I started Part I.
I had a lot of worries about Part II,
But I'm hoping that everything will turn out to be good.
1.
Part II will be divided into multiple episodes.
The first of those will start next week.
I might take a small break after each episode,
But nothing is set.
2.
Officially, Zahard has no prince.
[TN: I interpret “Officially” to mean “On record” or “Widely-known”]
3.
Part II will be a bit lighter than Part I.
I think...
Anyways, overall, I think Part II will be pretty fun, haha.
P.S.
5 years in the Tower is not long at all,
But it's enough to change a person. Lol
And wangnan himself is not in the prologue. Of course, repellista does say "The prince of zahard will come back". And that definitely means wangnan as he is pretty much confirmed to be a prince of zahard. But that is still a different thing from "The return of the prince" referring specifically to him and no one else. The title isn't "the return of the prince of zahard". Bam is in his own way a prince, just not of zahard. Assuming the stuff we have learned about V and Arlen are generally correct at least. While wangnan is absolutely the prince of zahard, I would still make the point the title also refers to bam since his story and background fit all too well with that motive.
I do disagree with wangnan's princehood being comparable to an actual princesses. To me wangnan's prince title always had an implied "kill on sight". Unlike a princesses' title which has an implied "kneel you fucking pleb" aimed at rankers.