Does the deep subconscious detect and react to the thoughts still lingering within the thought plane by querying it on a regular basis?

This does take place and is a way of monitoring the information it attracts. So this is a function of the conscious thought itself, that it is directed locally into the thought plane and then to the distant targets of akashic records and collective unconscious with a kind of communication channel, and it is somewhat akin to channeling because it provides an intuitive gateway for information to flow in both directions. For this reason, the thought plane is not only storing information, but accumulating new information, and is a kind of memory of its own, both of the immediate self and the things within the akashic records and collective unconscious that pertain to the individual, their past doings as well as a composite of human thought matching theirs. So this is a clear mechanistic description of what actually happens when a Nobel prize-winning idea occurs to someone and then someone at a distant location on the planet shortly thereafter has the same thought. It is because they are seeking an answer to a question, and that question as a thought from their thought plane goes out to the collective unconscious and looks for something that fits, that is a match in some way to the intention, and the answer to a question is a perfect fit. And if it exists, the answer may well be found by the question coming in, and then will be returned via this channel to the originator of the question as a kind of reward. It is like a call and response in music.