An EE degree will absolutely help you pick out components for a circuit.
Computers and digital logic lend themselves towards a sense of everything being deterministic and understandable.
Analog electronics, radio waves, radio wave propagation- I've heard all of those described by EE's (with degrees) as essentially black magic. It isn't black magic obviously, but I think much of those issues end up driving people to experiment with physically building things instead of relying solely on paper. This is just my impression. I think antenna simulation has gotten better recently for example.
Another weird thing about EE, that seems to break what many (including me) expect it to be.. it feels like assumptions and approximations layered on top of one another. Take a simple diode. It has a certain current/voltage curve, but what I was taught about designing with them, is that generally you would use an approximation of the curve. Not the actual curve. Oftentimes, in lab, we would treat the voltage drop across a diode as being independent of current, which is absolutely false! But that is the way that EEs think of diodes, because it works! It's a game of learning what assumptions can be made to simplify analysis.
You might want to try this for learning about electronics: https://en.wikipedia.org/wiki/The_Art_of_Electronics
another good example of how EE's reduce more complicated circuits down to simpler approximations: https://en.wikipedia.org/wiki/Th%C3%A9venin%27s_theorem