What? Both of these things fit the in game definition of biological hivemind. The Hive minds have already been said to use psionics to communicate and control the drones. The Zerg and Tyrannids use BIOLOGICAL evolution to create stronger and better creatures. Psionic Ascendency is more like the Vorlon and post ascendency evolution Humans in B5.
Zerg was forced evolve to have PSI power via overlord by the Xel'naga as a part of long term plan to merg them with Protoss to create hybrid which are create of both biological and psi ascension.
Tyranids are completely inimical to psyker and chao on top of having certain member capable of exert PSI control over some of the lesser swarms.
Every thought and action, every spark of life in the Tyranid race, is bound and interlinked into a single unfathomable consciousness, a great entity that stretches across hundreds of light years of space. This gestalt sentience is known as the Hive Mind. It holds all Tyranids in a psychic bond that enables them to act together in perfect unison. Under the influence of this ancient consciousness, the Tyranids have fed on countless planets and devoured civilisations since time immemorial.
The majority of Tyranid organisms have no distinct minds as a human would understand it, having been created to perform a single task to the exclusion of all else. Unless the implacable will of the Hive Mind instructs them to do otherwise, these organisms simply fulfill the functions for which they were created, acting on nothing more than instinct. Larger, more complicated, Tyranid beasts have been grown to make limited decisions appropriate to current stimuli and situations, but even these actions are subordinate to the goals of the Hive Mind.
The majority of Tyranid organisms have no distinct minds as a human would understand it, having been created to perform a single task to the exclusion of all else. Unless the implacable will of the Hive Mind instructs them to do otherwise, these organisms simply fulfill the functions for which they were created, acting on nothing more than instinct. Larger, more complicated, Tyranid beasts have been grown to make limited decisions appropriate to current stimuli and situations, but even these actions are subordinate to the goals of the Hive Mind.
Source: http://warhammer40k.wikia.com/wiki/Tyranids
Otherwise you are right they also use biological process to evolve.
Neither of these are Hive Minds...
Emperor is an all powerful Psyker capable of connecting and influence to human to various degrees.
Chao has their own realm which is make up of lot of creatures all working together to various degree. To top it off the main reason Elder abandon their planets is because Chao were drawn to their emotions like moth to flame.
Chaos is almost synonymous with the Warp -- the two concepts are inseparable, for Chaos is the limitless ocean of spiritual, psychic and emotional energy that defines the Immaterium and underlies the 4-dimensional material universe of space-time. It is a great and raw force of change and power, and is both physically and spiritually corrupting, though it is not in itself necessarily "evil."
Source: http://warhammer40k.wikia.com/wiki/Chaos
As for the Borg, I'm pretty sure I saw a Civics trait for the Hive Mind that was a computer chip control system (don't remember what it's called). So you can still have your Borg.
I think you confused something for something totally different because that could been a civic choice not a trait.
I have the linked picture in my original post. It has something called natural neural network which is a civic choice. I doubt it is the cybernetic approach that fits for a cybernatic ascension if it is a civic choice.