It's a mixed bag of reasons I imagine.
#1 Demographics. There are a lot of very poor small towns out there. If you have a high Native American population (which many of those spots do), there's not a lot of love from those communities for anything other than basketball. We have a 1a school a couple hours north of here that only plays basketball. They are 75% native American and will 17 you up. They're 79-3 over the last 3 years and destroy very good 5a schools. Lookup "Rezball". It's a big deal in the Southwest and intermountain west.
#2 Weather. We are playing in a summer baseball league (15u) in Central Idaho. We have 8 teams from 6 towns and play on our respective "High School Fields." Mostly 4,000-6000' in elevation except for one town down on the river at 1,000' elevation. 1 town has no field whatsoever. 4 of us have a multi use field that is absolutely garbage, and the other town is all in on baseball (low elevation town on the Clearwater River) and has one of the coolest high school fields I have ever seen.
It's very hard for us to get community buy in or funding for baseball at the high school level because there is usually snow in the ground through the end of the season. Our high school had 3 home games this year and it was the first home games since 2019. Heated turf is the only solution and it would cost millions we don't have.
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#3 Other Activities. I'm sure the SW is like us in this way... There are so many other activities people have that pull kids away from stick and ball sports. My little baseball team is a perfect example. My best player is now gone for the season as he is mountain biking the entire CDT from Banff to New Mexico for the next month. My number two pitcher (who's Dad pitched in MLB) is going rafting for the next two weeks and will miss our last 5 games of the regular season as we fight for first place. I have a kid that is leaving before the end of season tournament to start training in Colorado for the biathlon/nordic season. Practically the whole team is gone next week for the local Church's summer camp. Going to have at least one forfeit it looks like.
And I am not much better... Prolly pulling my oldest out of football this year because it ruins fall fly fishing and elk hunting which he and I prefer over youth football.
So effectively, when the weather is good enough to use for fields, there is so much other stuff to do. If we could use our fields in the spring for baseball, after skiing/snowmobiling ends and before fishing/rafting/camping begins we'd put a lot more into it I think.