None of the things by themselves fully justify “belief” in a religion yet many people claim they are without a true belief in the entire system. It’s the problem with such a vague question. By a narrower definition very few people attending a place of worship are true believers. Someone can believe in god, but not really believe in the rules, and still say they are “religious”. Someone can believe in the rules, but not god, and say the same. I think if you are practicing the religion to some extent then you have a right to call yourself religious if that’s how you view yourself regardless of your true beliefs on god, rules, etc. Cultural impact matters more than we give it credit for.
I get what you’re saying in the rest of your comment but I think you are wrong here. To say “fully” bought and paid for is incredibly misleading. On the vast majority of issues that favor corporate interests democrats vote in favor of working people at a high rate. It’s really not hard to check the voting on each issue. It’s the same 5% of Dems that repeatedly vote for corporate interests. While the other 95% get blamed for it. On the other hand nearly all Republicans vote in lock step with corporate interests. They are not even remotely comparable.