A weeble is a small plastic toy, roughly the size and shape of an egg, superficially sculpted to resemble a person, and weighted in the manner described, so you can tip it in any direction you please, and it’ll right itself. Marketed, in the UK at least, with the slogan “Weebles wobble but they don’t fall down.”
Uuuuuuuh… There will be no atmospheric pressure, because there will be no atmosphere. No atmosphere => no atmospheric pressure. More mass => more gravitational attraction. See, it’s really not that hard. And what does Phage’s example of an iron ball the size of Jupiter have to do with the links you posted?
Jupiter has high atmospheric pressure because it has a large mass and a lot of atmosphere. You know, discrete lighting, nice background music, that kind of stuff. 
Atmospheric pressure and vacuums have nothing to do with the way those toys work. In a situation with no gravity, it would just stay still until some force (e.g. you pushing it) caused it to move. Just like any other object. (A body at rest will remain at rest…) If you hit the top of it, I imagine it would probably spin, with its axis at the “center of gravity” (center of mass, actually) because the more massive part of it resists acceleration more. F=ma