So, uh, what's the cost for this that keeps it from being ridiculously, brokenly powerful? I don't just get to magically, instantaneously, and continuously teleport my ships into any arbitrary AI system across the galaxy from any arbitrary number of space docks, fabricators, factories, etc. for free, right? Because that just seems like "1) Send in enough ships (varies by system) to prevent the AI from killing the reinforcements before their stun wears off 2) Win the game".
If you (ab)use that ability properly, it could shift things dramatically in favor of the human player in some situations. Yes, it's a bit of a resource drain to do lots of suicide runs, but the sheer number of ships it frees up to use for other things is kind of crazy. Another silly thought: Can paralyzed ships coming out of warp gates be cloaked? Heh.