A whole lot of those counties out west and in the north have small populations - Swisher County has 6,700 people, Dickens 1,700, Scurry 17,000, etc. so what goes over well in Bum Fuck, Texas, population of 3,000, won’t go over as well in a much larger county or city.
From that same page on the state website:
1. Catholic Church
4,673,500
18.59
20.95
2. Southern Baptist Convention
3,722,194
14.80
16.88
3. Non-Denominational Christian
1,546,542
6.15
—
4. United Methodist Church
1,122,736
4.46
4.90
5. Muslim estimate
421,972
1.68
0.55
6. Church of Christ
351,129
1.40
1.81
7. LDS (Mormons)
296,141
1.18
0.75
8. Assembly of God
275,565
1.10
1.09
9. Presbyterian Church (U.S.A.)
155,046
0.62
0.86
10. Episcopal Church
148,439
0.59
0.85
11. Lutheran–Missouri Synod
132,508
0.53
0.67
12. Lutheran–E.L.C.A.
111,647
0.44
0.74
Unclaimed by any faith
10,103,455
40.18
38.25
Even among the Catholics, many do use and prefer to have access to birth control, else they’d outnumber the Baptists by far more than 900,000.
And having gone to my wife’s Southern Baptist church here in Austin off and on for years (thankfully she left for the Presbyterians), and looking around at friends and family elsewhere in Texas (and having attended services, weddings, funerals, etc. in their churches)it was rare to see families with more than two kids. Usually those with more than two stopped at three, so most of them were practicing birth control or doing it in the pooper.
Looking around, stats seem to be about 40% of Texas adults regularly attend church, which explains why more than 10 million Texans aren’t identified by faith.
Its a weird hill for the group of Republicans pushing against birth control to die upon, as it could usher in the younger folks voting.
edit: I question whether 40% are regularly attending church these days. - COVID Really did a number on people attending church and realizing they’d rather have their Sundays back for other stuff.