What "phase issues" are you talking about?
And the way I like to think about this stuff is this:
The room is acting as a filter at the listening position, complete with frequency and phase changes and ringing. That's really exactly what's happening, with the speaker's response also factoring in. The trick is to create an inverse filter that doesn't make things worse when you move your listening position a little bit, and that's what ARC , EQ or any other form of digital room correction tries to do. And some things are easier to correct than others.
Acoustic treatment and room design, OTOH, attempts to make the "room filter" less extreme.