Rote learning? What are you talking about? I never said you should do rote learning. If you want to become smarter in Electrical Engineering the only way to do that is to study Electrical Engineering. Unless playing chess is similar to solving or designing electrical circuits I doubt it will help you much. I hope I'm getting my point across.
But lets assume that playing chess is somehow similar to Electrical Engineering in the sense that 10% of the patterns in chess show up in Electrical Engineering. This means that 90% of the patterns you learned in chess cannot be used in Electrical Engineering. If what you want to do is learn Electrical Engineering then you've just wasted a lot of time learning 90% of chess patterns that you cannot use in EE. The time used to learn those 90% patterns could instead have been used to learn EE.
So, if all you wanted to do is learn EE then studying chess might not be a very efficient way of doing it.