On the subject of weak relationships between mechanics, here is a way to describe it.
If after some period of time, the Dyson sphere comes out of nowhere because a hybrid spawns it, I can imagine players thinking, "WTF, that wasn't there before!" The relationship is weak because it's hard to associate the hybrids and the Dyson sphere. Who is to say the Dyson sphere isn't just a randomly spawning unit? Nobody, unless you read the patch notes which someday will be so old you can only hope they are in the annals of the wiki.
If after some period of time, you scout and notice hybrids constructing a death star, well, that's different. It cool to peek at what hybrids are to, and it feels somewhat fair because you can do something about it. The relationship in this case is strong because you can see them going about their work and making something villainous. Even if you are reusing the Dyson sphere, that's okay, the relationship is still strong.
And okay about the galaxy controls. That all makes sense on why you would want to do that, although I would want some kind of way to protect my galaxy controls screen.