Many who imagine themselves to be Calvinists explain themselves in Arminian terms. And Hindus who have been in touch with Christian teaching will often give a Theistic explanation instead of the Monism which they may profess. I use are constructed, and tried out to see if they fit what the person is explaining. Since they are as analytic as mathematical models, they are not right or wrong, merely useful or not useful in trying to understand another person's explanation. And as I point out in God of Many Names , if the model we construct does not capture what the other person is trying to explain, it is the model that needs to change.
People have a right to give an explanation of their own personal faith in any way they choose.
Having said that, I think it is demonstrable that if people are taught a certain explanatory model their behaviour will be affected. Mahayana Buddhists another, and well trained Zen Buddhists are something else. Calvinists in Scotland and Geneva probably behave differently from Roman Catholics. But that is psychology that can be observed and discussed as right or wrong.