I'd tend to say yes. Robots, androids and even cyborgs will probably burn out. In case of cyborgs with organic parts I suspect the neuon interfaces between the body parts will probably overload. Besides a cyborg with the robotic parts destroyed probably won't be of much use anyway
Come to think of it: Would it make sense to have regular organic units (Bio titans, squiggoths etc) affected by the haywire missile as well? Is the missile specifically an EMP blast or a mixture of various effects that will wreck havoc to elecrtical systems? A huge electrical discharge is bound to be bad for anybody's nervous system IMO
The rules say, "any vehicles under the template ... are destroyed ..." "... no effect on Infantry ..." pg. 55, SM1 Rules ("The Black Book"). But IIRC, bikes and Dreads were considered "Infantry targets" ... So I'm torn between, DRM/Chaos Androids/etc. being considered Infantry or vehicles ?? If we consider them Vehicles (for Haywire purposes), we'd have to consider Dreads as Vehicles ... Oh my ! 