I think it would have helped if the people writing that paper had not confused the issue by introducing a new name for something that is a well known thing in optimal control and had been invented even before neural networks, namely adjoint sensitivity analysis. There even appear multilayer networks of switching components in Pontryagin's book on the subject.

Valid complaint how? If I have never studied carcinogenesis why should I believe I should understand the description of a new treatment for bone marrow cancer?

The way any article is written reflects the audience it is suited for. If this article was intended for people unfamiliar with neural ODEs they would have put more effort into writing it in a suitable way.

There is a big difference between a blog post and a scientific article. A blog post should be expected to popularize a topic and reach a wider audience.

You also seem to be quite unfamiliar with breadth of the topic of mathematics. It is quite possible to take a mathematics phd without touching differential equations, except as an undergrad.

BTW, implying that people don't deserve their job is just shitty behaviour, and way out of line.