Quickleaf
Legend
I actually think that more robust, holistic, and transparent mathematics facilitate making more creative monster designs.I really feel that CR as it is also strips a lot of magic from monsters. Trying to so rigidly design them IMO makes the designs off feel uninspired, and makes the danger of something feel a lot more transparent. Since the point of bounded accuracy is to make it so that you can challenge higher level players with lower CR monsters, I feel like the current implementation makes it so those lower CR monsters really just don't feel like a true threat -- more an annoyance as you're trying to deal with the cool real danger in the fight.
I agree with what you're observing – that 5e's monster design presents a "sameness" trap that it is easy for a designer to fall into, and even more so if the designer prioritizes creating a monster whose CR can be clearly modeled under the existing guidelines.
One of my projects involves lots of really wild / creative monster design within the 5e umbrella – some is stuff that has no parallels in the game. Evaluating those divergent/creative ideas from a CR standpoint with the current system? Hah.

I understand wanting to push back against an unfortunate trend in online discussions to hyperfocus on this one number (CR) at the expense of pushing the creative frontiers of the design – heck, I hate that tendency more than most folks, and push against it with my own stuff – but I think it's inaccurate to assume that Maths & Creativity are inherently opposed forces such that developing Maths must come at the expense of Creativity. Nothing about that is inherent.