I don’t think the question of whether the informational content of the mind determines its structure can be answered definitely by referring to current standard psychology or neuroscience references because there is still no consensus on what the mind is, and likewise for its structure. I’ll try to to give the answer based on current knowledge in physics and neuroscience, though.
First, let’s clarify what you mean by the phrase “determine its structure”. You give an analogy in your comment above: in general relativity, the distribution of mass-energy determines the space-time geometry (of that region). So, “determine its structure” here means “determine the topology/geometry of the structure”, not “determine the basic structure, per se”. That is, the mass-energy distribution does not determine the basic structure of the space-time – the basic-structure of space-time is still a 4-dimensional differentiable manifold, with three space coordinates and one time coordinate, coupled with the metric tensor g and governed by the Einstein Field Equation. [1,2] Each different space-time region with different mass-energy distribution just has different topology/geometry of space-time.
What is the basic structure of the mind? Certainly, there is no standard answer for this yet. However, currently, there are several theories [3-5] that assert that the mind is composed of information and information processing, which is the concept similar to the concept of your question. But none of these theories propose that the basic structure of the mind is determined by its informational content although the topology/geometry of the mind or what the individual mind is actually like is determined by its informational content. For example, in the Integrated Information Theory, the mind is invariably the integrated information, and in the Basic Theory of the Mind, the mind is invariably the composite of information processes – no matter what the informational content of the mind is. But, like the case of topology/geometry of space-time above, what the mind is actually like in each individual case is determined by its informational content.
Another obvious analogy is us. Each of us has different physical and mental compositions, which determine who each of us individually is (or determine the topology/geometry, if you will, of each of us). But the basic structure of us are all the same – the basic structure of homo sapiens.
To recap, the informational content of the mind determines the topology/geometry of the mind but does not determine the basic structure of the mind. This is what I can logically conclude from the current scientific knowledge.
1.Wikipedia. Space Time.
2.Wikipedia. General Relativity Theory.
Doyle B. Mind-body Identity Theory The Information Philosopher.
Tononi G. Integrated Information Theory of consciousness: An updated account. Arch Ital Biol. 2012 Jun-Sep;150(2-3):56-90.
Ukachoke C. The Basic Theory of the Mind. 1st ed, 2018. Charansanitwong Printing Co.: Bangkok, Thailand.