While many things including this one have a halacha aspect, there is another element that cannot be justifiably overlooked. MENCHLICHKEIT a.k.a. MIDOS. In the absence of this, one should inquire whether the davening has any value at all. Let’s just touch on a few of the issues at play.
הקובע מקום לתפלתו אלקי אברהם העזרו. What is meant by קובע מקום is discussed by the poskim, whether it means the same shul or the exact spot in that shul.
The seforim expound about the need to make tefilo something which includes Klal Yisroel, and exemplifies achdus. There are many examples of this. Nearly every tefilo where we ask for Hashem’s help is worded in plural, we/us, not I/me. Giving tzedokoh before davening is heralded as a great seguloh, as is tzedokoh during tefilo. If we behave narcissistically, our tefilos suffer. There are loads of halachos that address the concern for another Yid during tefilo. We cannot cross in front of someone who is davening Shemoneh Esrei as it may disturb his concentration. There are tefilos that are recited quietly so that one does not disturb the other. Just as a father is contented by the unity of his children, so, too, is HKB”H seeking the togetherness of us, His children.
If one wishes to question whether the Midos issue takes priority over the halacha aspect of Makom Kavua, just look for examples how Gedolei Yisroel behave in such situations.