1) Not sure what you mean by traction. All decent bike tires have good traction for commuting. Naturally, higher end tires have better ride quality.

2) Rolling resistance? Why? With a mid drive, its not going to make any difference at all to you. Seriously.

A thundeburt or Race King is a poor choice. Yeah, you can do it (I have), but realistically the cornering is going to suck – at the speeds you are riding its going to exacerbate the problem. Then there is the tread wear – with your bike that is going to be extreme. Off road tires wear out very fast when used for the application you are describing. They are going to be slicks in months (or weeks).

That is just my experience for your use case. Personally, I use a Serfas Drifter for your type of riding. Inverted tread, pretty tough and long lasting. I’ve tried a lot for your use case, but this is the most practical. Certainly, Schwalbe and Conti have some good e-bike rated tires.