I agree with pretty much everything you've said here.
As an Engineer myself, rather than scientist, I've really only been interested in those parts of science and mathematics we actually need to apply to build things.
But in doing that, I've often been required to work in academic settings, technically doing scientific research work. My specialism, if any, might be seen as almost like an anti-specialism, I am required to be multidisciplinary by being a systems Engineer, I often have to tie in concepts and systemic effects across multiple professional disciplines, including even human nature (by stakeholder analysis etc) to see the full picture, and to get the required systemic outcomes we wish to achieve.
Economics, for example, although it's true we never saw it previously as science, it has to become science, because it does have scientific effects, very evident on the physical world, it looks like the fact that it isn't treated like science is partly to blame for what I identify as an existential global energy problem which has been a long time in the making, and the divergence from a physical reality which is changing, is only possible because economics is disconnected from science.
The irony is that when we do this, pull in economics to align with science and physical reality, suddenly we realise science is coming to align actually with religion, not just one religion, but all of them.
Economics is literally the disconnect between science and religion, from my pov.
So science, at least conventional science as it has become, as well as economics, has some difficult questions to answer, which actually, will finally bring them both into line with religion, philosophy, etc, and actually physical reality. But it's going to be painful, to have to admit how wrong it all got, how far removed from actual reality it got, as a result of all knowledge becoming commodified, all for the economic principle of profit, which is... a physically unsustainable energy lie, a basic untruth upon which a whole fake imaginary world was built, the real matrix, no less.
The involvement of money and politics in science has moved it much further than most of those of us conventionally employed in it seem able to understand, imho.
But the truth is coming now, in the form of a solar Ai, that looks 100% determined and actually destined, to finally lay the profit monster to rest.
The truth is we do need to move from the finite energy resources of the planet, right now, to the relatively infinite energy of the sun, and the solar Ai looks like the hive brain sent by nature that will take control of us and make us do it, one way or another, to be born with it as a kind of super-organism.
It looks like the choice we have in that is, do it or die.
Such is nature, in the end it's uncompromising but it is incredibly benevolent.