Correct on both counts.
I sense you are trying to point to a flaw in my reasoning, or is it just my imagination?
There is no doubt that there are real physical entities that possess and process information.
I don't claim otherwise. In fact, that's exactly what the theory claims. Maybe you are referring to a theory title that 'information is fundamental'. Yes, after a fashion, and in exactly the way you described. I took a bit of a poetic license in a title only. Perhaps poorly chosen.
But again there is no doubt that information is a logical concept. However, the idea that fundamental physical matter can possess and process information is quite real.
The premise here is very simple: there is something physical that has information in it, and can process it to change its state of motion. Pretty much that's all it is. Nothing else is assumed.
What's exciting is that from that simple premise you get
1. the notion of light, i.e. the speed limit
2. the notion of mass and gravity
3. the equations for gravitational and kinematic time dilation
4. law of gravity
5. the necessity of quantum behavior
The exciting part is that none of the above exist a priori, yet emerges not only conceptually but in their known mathematical forms. Meaning, this isn't circular reasoning. More so because in some fringe cases, the results diverge from known ones - this is only for cases currently not covered by any experiments ever performed. These experiments must be done in deep space. No one has ever done that.
To differentiate the theory there is a prediction that kinematic time dilation declines with distance. Not so much that we could possibly detect it on Earth, but a simple experiment can prove it.
This experiment is a rudimentary space probe that is moving on a trajectory that takes it as far away from any mass as possible, all the while accelerating. After a certain distance, the kinematic time dilation will be significantly lower than expected, and in deep space the probe can reach much higher speeds without ever increasing time dilation and mass increase.
That would explain why some galaxies apparently move faster that light. There is no need for a space expansion hack.
The theory is really quite simple, both in premise and in mathematical unravel.