should always be able to easily field a competitive BB team. It could, as you say, easily play games around the world and be promoted to local LDS populations.
BYU kicked off international recruiting in the NCAA, and for many years neglected it mysteriously. With Pope first and now more so with Coach Young's staff that neglect appears to have been finally reversed. I think, and I hope, it won't be neglected any more. The door has finally been broken too wide open with the new NIL regulations that let college teams (for better or worse) compete with overseas pro $.
It wouldn't surprise me if men's and women's BB became the most internationally visible sports on campus, no.