In their mind, it does. File it under "intangibles" ... breaking up with your girlfriend a day before a big match has nothing to do with wrestling talent, but it can impact performance. Phil Jackson feels his zen lifestyle makes him a better coach. Henry Cejudo believed some of those sticky shock devices helped him recover better after cutting weight. None of those have to do with talent, but it doesn't stop them from believing it does and if they believe something (anything, faith, marriage, electroshock therapy) helps them ... by all means, they have the right to say such.
People have different things that drive them ... the only person who can disprove what they believe is the person themselves. If you don't believe faith has anything to do with Burroughs' success, that's fine, that's your opinion, but you're not going to convince him otherwise.