So the general conclusion that is seemingly drawn, is that when one is relaxed, with that being the focus, as oppose to achieving some goal relative to the exercise, which is where the ego WOULD come into play - win, go hard, faster, stronger, I MUST go hard to be the best.

Where we have a case where them things are not the focus, that is to say, a case where the ego is not in play, but rather the focus being relaxation, control of intensity, focus on movement as oppose to strength, perhaps, then the results are greatly enhanced.

Sounds like a bit of a paradox.
"to have the best result, your focus cannot be on having the best result".

Occasionally one might hear a great fighter, in response to the question "are you going to win your fight?"; they might respond something like, "if it is God's will".

With a mentality of this nature, the ego surely comes into play to a lesser or nil degree, and therefore, as above, and for those reasons mentioned, the end result is that much more emphatic.