Third link has inaccuracy around it. Viz, though, translates it as a "dream" only, while the other stuff tend to state it as a compound, "dream country" and don't elaborate on what her "dream" actually is, or it if involves the dream country.
However, the basis for the "dream" being significant is lowly, and nonexistent, since Perona clearly doesn't join a "zombie-able" group when Hogback isn't present; therefore, she's unable to acquire a dream, and wouldn't have that dream prior to Hogback joining. It'd just be a "gag" moment similar to how Sanji wished to have a specific Devil Fruit-- for his "dream" or how Nami wished to buy an island; for her "goal-like" dream.
Regardless, it's difficult to make it apply and eliminate her chances. It is a debatable subject, and I argue the idea that it isn't her "official" dream, which we've yet to be told of it. Personally, I haven't been able to muster the creativity needed to try and make one up for her.
Are laughs on the internet so cool!?!? LAFFS!!1