First of all, I did not study electrical engineering. I studied electronic engineering. There is a difference you know.
"Electrical Engineering" is the typical name of the department, & what we all call it, including the sparkies who deal with electronics.
Second, engineering depends not so much on science as on math.
Oh, really?
Math is essential whereas science is kind of optional. For example, one can analyze a circuit using conventional flow or electron flow. Science assures us that electrons flow from the negative anode of a battery to the positive side, but it doesn't make a dime's worth of difference. We were all taught to use conventional flow, and my amplifiers still worked just fine.
This is an utterly irrelevant example.
(I learned current flow both ways too.)
Well, even though you find science useless, I found it quite useful in engineering (aerospace, medical, civil, industrial & automotive).
I suppose that if one studies something, but never applies it, then it doesn't matter if one doesn't know the science.
For such a person, science would indeed be useless.