It doesn't really matter which fork is "dominant", the artificial scarcity seems extremely artificial in a most brittle way and not that scarce from a respectable technical viewpoint.
You can certainly try to build a definition of "dominant" based on mining "hashpower", but that's a social/economic/political/geopolitical minefield much more than it is a technical factor inherent to bitcoin's underlying data structure, because the underlying data structure is forks ("dominance" is a lucky/expedient edge case).