... Thus I included the Emaj here in the spare form of playing a "B" note (which is not part of the Amaj harmony either but the fifth in the Emaj chord) in the (if you will) "bass" - a low E is not available on the treble, the G# alongside just the "B" sounded too strong (or tight) to my ears - and I wanted to thin out the harmony in order to keep the tune light anyways.
Do you nonwithstanding "hear" the tension in my take?
It's very nice, but no, I don't hear the tension I spoke of. The B can stand for many things in this context: An E major or 7th chord, an E minor chord, a B minor chord, even a G chord. Without actually hearing the G#, there's no reason to assume an E major or 7th chord, hence, no tension.