What the rogue drones did in
We Humans was make a choice between abstracts, I'd say that puts at least that hive in the strong category. They did more than follow a programmed response when being swayed by the Thukker. Whether that was how they were originally made, evolved to that level (even though weak AI shouldn't evolve <.<), or got cross-pollinated with Sleepers... well, who knows?
I see AIMEDs as so weak that they're possibly only good VIs (they're interactive enough in specific settings that you
think they're intelligent). They'd not need much to run a comparison of vitals and signs/symptoms against a list of ailments in an on-board medical encyclopedia and select the treatment option connected to it. But, without a perceived bedside manner provided by at least a VI responding to social cues, they're just medicine-dispensing, surgery-performing tools and not really treating patients - vending machines with knives.
Sleeper drones... I've not found anything yet to make it clear to me if they're uploaded minds or strong AI. I'm leaning towards there being both among their various types and quite possibly a mix of both on some individual drone types.
Given how the setting of EVE is, the cluster is doomed if a seed AI is born. Not even Skynet in the Terminator movies (which is the closest example I can think of that people will recognize) was capable of rewriting itself at will; it was only a strong AI. Something able to become faster, smarter, and then using that to improve itself exponentially again and again would be
alien in every sense of the word within minutes of, "I think, therefore I am." All you can do then is hope and pray it stays something you can consider friendly or has no way to affect the world around it, but this is EVE; how often does that happen?