The problem is, those more mathematically challenging frameworks are inaccessible to the majority of the people
so they don’t actually take off because there’s no mechanism to translate more rigor in social studies and social sciences in large part because humans reject the concept of being measured and experimeted with, which is understandable if not optimal
So as a function, applications of mathematics trended towards things that were not human focused and they were machine focused and financial focused
So the big transition happened after TV and Internet (really just low cost high reach advertising) became pervasive and social scientists began utilizing statistical methods across consumer and attention action as social science experimentation platforms
Social science moved from the squishy into the precise precisely to give companies a market advantage in capturing market share through manipulating human behavior
ultimately that was the wet dream of political philosophers since pahotep
Hegel is irrelevant in the age of measurement
But I've never thought critically (in a long time) about applying it back to social science / political philosophy. Mind discussing more about what you're reading and targeting? I've personally avoided a lot of studies in this area because I didn't think they were actually rigorous but I probably just don't know where to look.
They won't hold up to physics levels of rigor, of course - probably a bit more at the medical studies level of rigor.
David Card, Gary Becker, McFadden, etc.
Rigor is also... there's something about letting perfect be the enemy of the good.
If noone will apply math unless you can 100% reliably reproduce controlled experiments in a lab, the only thing left is people just talking about dialectics.
The challenge is how to get as much rigor as possible.
For instance, David Card saw New Jersey increase minimum wage. You generally can't truly conduct large-scale controlled social experiments, but he saw this as interesting.
He looked at the NJ/PA area around Philadelphia as a somewhat unified labor market, but half of it just had its minimum wage increased - which he looked at to study as a "natural" experiment, with PA as the control group and NJ as the experimental group, to investigate what happened to the labor market when the minimum wage increased. Having a major metro area split down the middle allowed for a lot of other concerns to be factored out, since the only difference was what side of the river you happened to be on.
He had lots of other studies looking at things like that, trying to find ways to get controlled-experiment like behavior where one can't necessarily do a true controlled experiment, but trying to get as close as possible, to be as rigorous as is possible.
Is that as ideal as a laboratory experiment? Hell no. But it's way closer than just arguing dialectics.
To be clear I don’t believe in consequentialism
He built what was called Fellicific calculus (iirc) that would allow you to more or less take measurement of decisions. It was a mess and it obviously doesn’t work but this is kind of the first serious attempt to bring mathematical rigour to political philosophy.
You could argue that the tao te ching teaching does this in the way that it’s utilized in the sense that you have a set of things that you measure to give you predictive capabilities, but that’s closer to mysticism and tarot card reading its worth acknowledging the input as it’s the basis for like half the human population.
I have my own perspective of this which I wrote out in a fairly lengthy document (General Theory of Cohesion) on my website if you wanna go read it. Warning it’s not particularly scruitable if you’re not already pretty deep into cybernetics and systems theory.