Thrust move when Gone to Ground?

[JMichael]

This may be a stupid question, but the rules for Going to Ground specify the unit cannot move, Run, or charge. (only Run is capitalized in the Rulebook)
So can Jet Pack Infantry make their thrust move?

What about Warp Spider's Flickerjump? Say they went to ground for the first attack. Another unit then targets them, can they flikerjump?

I get that it says they can't 'move'. But if that included all movement of any type why would is also say Run and charge instead of 'this includes running or charging'.