Having worked on this issue extensively with many different systems, the chance of getting ground loop hum when powering equipment from the two opposing phases in your panel is greatly increased. While I agree that in theory it should not matter, in practice in most cases it does.According to a reference authored by world renowned authorities on relevant aspects of electrical and electronic design, which was cited in this thread, it even matters in theory. See the first of my two posts in that thread dated 5-16-2013, which provides brief relevant excerpts of their paper, as well as my comments on it. The paper was initially cited and commented on in the thread by electrician extraordinaire Jea48 (Jim).
The thread also contains further discussion of both this issue and the criticality (or lack thereof) of load balancing, by me, Minorl, Peter (pbnaudio), and Jim (Jea48) among others.
It would seem that those on opposing sides of these issues will just have to agree to respectfully disagree. As for me, FWIW, I’m with Peter and Jim on these issues.
Best regards,
-- Al