Understandable, and I think Adywan is on the same page as you for ANH:R:HD. I might just do my own version of the audio track with the March inserted for myself.
It’s not that I don’t think it fits - the imperial march fits perfectly imo for the Death Star reveal - but it takes away from the first time we hear it in ESB.
Regarding Battle of the Heroes, I don’t really think it fits at all.
I actually agree with both of these, but in the context of the entire saga (yes, even the prequels…) it’s odd that the March is completely absent from Episode IV.
Huge yup.