Reflective listening has the main purpose of allowing the speaker to be emotionally validated. Why is this important at all? Because emotional validation is a necessary precursor to modulating beliefs. Contrary to popular beliefs, people are rarely logic-ed into new beliefs, especially away from maladaptive beliefs. For example to someone who feels unloved, telling them they are loved will not change their mind.

I'm not sure what experience you have with changing people's beliefs, but so far this isn't the way to do it.