Yep. That's 100% the bigger issue. The church may or may not officially say to vote for a specific person or party, but they sure as shit will manipulate their entire group to think and vote a certain way.
And even more insidious is most of the people will deny they are being manipulated. They will insist that they decide how to vote all by themselves. It's just years of indoctrination and manipulation to the point most of them don't even realize they are being controlled and used.
And maybe some truly believe it all too, but most have doubts and realize it's messed up, but have been gaslit into thinking it's THEIR shortcomings or flaws or human nature to blame. Not the organization, them personally.
And here we are millennia later still arguing with grifters and con artists so good at the grift they believe it works.