It goes much deeper than that, imho: "every accusation is a confession". It bespeaks how they make fun of the ones that they do not agree with - and therefore imagine that the "other side" simply MUST be doing that to them (regardless of any evidence yay or nay to that effect).

But to answer your question: yes there are a lot of "city folk" inside of Texas - mostly Austin and Dallas - but since they are concentrated into those areas, the state overall votes along with the rural base. Except that they fear that their children even in the rural areas are leaving Christianity in droves, so that too.

Mostly though, it is a "truthiness" statement - not meant to be factually correct so much as to evoke an emotional response. e.g. the Holy Bible, which they claim to revere, says things like "judge not, let you be judged in return" applied to non-Christians but also has enormous punishments for Christian LEADERS who are caught in things like infidelity especially with under-age children, both of which need to be swapped 100% in reverse in order to match their actions as depicted in this meme. As in, maybe people aren't making fun of you b/c you follow the Bible, but b/c you claim to but then don't?