I'm a bit surprised that you call it "Anglo-French" rationalism. I'd always associated the French with the continental tradition; the main names I know associated with continental philosophy are French. I'd thought it was called "continental" in explicit contrast with the British (and Anglophones in general).
Is there a large French "analytic" tradition that's getting swept under the carpet here?
I gather that the entire argument about the distinction is rather moot here. But I think I may also be missing your point entirely, and I'm curious if you could elaborate.
Rene Descartes is considered to be the father of rationalism, meaning that knowledge can be obtained through reason and logic alone. The British tradition is more deeply rooted in empiricism with regards to observing natural phenomena, but it is not at odds with rationalism.
Part of me wants to replace "post-Kantian" with some sort of Hegelian descriptor, but I suppose the difference in meaning would be somewhat negligible. I've just always felt like every continental philosophy since Hegel has essentially been a response to him less than Kant, but Kant certainly provided the foundation for what was to come.
[0] https://www.science.org/content/article/reality-doesn-t-exis...
It's a weird way to explain the result of the experiment. The experiment is some variant of the ERP paradox and the result is that the polarization of a pair of entangled photons is not defined until it's measured, that is well known since many years. They use two properties of the photons (for some strange game for technical reasons?), but the result is not more surprising that the usual Bell inequality experiment.
It just means that polarization of a pair of entangled photons is not defined until it's measured, not that reality exists or not.