I should have loved electrical engineering

EE encompasses a lot of "engineering that takes hard math" at a professional and research level (similar to "hard CS," just different fields of math), so it is very hard to do as an undergrad, when your background in complex analysis and E&M is weak.

Early classes on circuits in EE will usually take shortcuts using known circuit structures and simplified models. The abstraction underneath the field of analog circuits is extremely leaky, so you often learn to ignore it unless you absolutely need to pay attention.

Hobbyist and undergrad projects thus usually consist of cargo culting combinations of simple circuit building blocks connected to a microcontroller of some kind. A lot of research (not in EE) needs this kind of work, but it's not necessarily glamorous. This is the same as pulling software libraries off the shelf to do software work ("showing my advisor docker"), but the software work gets more credit in modern academia because the skills are rarer and the building blocks are newer.

Plenty of cutting-edge science needs hobbyist-level EE, it's just not work in EE. Actual CS research is largely the same as EE research: very, very heavy on math and very difficult to do without studying a lot. If you compare hard EE research to basic software engineering, it makes sense that you think there's a "wall," but you're ignoring the easy EE and the hard CS.

This is especially true because for doing most _hard_ EE work, you really need access to a fab, and so a lot of money. This is not really the case for most hard CS work.

By fab you mean lab, then agree.

Fabs are specific to the manufacturing of integrated circuits.

EE encompasses more than just manufacturing of ICs, for example research and applications in radio propagation and EM/wireless, signal integrity, antenna design, coexistence/desense, advanced power electronics, control systems, simulation/solvers, etc.

This is true, although for wireless applications you can follow the recommendations of the IC vendor and the remainder of the work is RF-engineering, not research. That's why I said fab, not lab. But yes, you are right to a great extent. The main point is that the hard EE work can be prohibitively expensive for individuals and smaller companies.