There's a big difference between what you and Graham Pemberton said. The burden of proof depends on background beliefs and social context. That was my main point here. It might indeed be "far easier to demonstrate" something based on those background beliefs. But that's different from saying the thing would be more or less likely, independent of epistemic considerations.

You're perhaps the third or fourth person to bring up Antony Flew to me in the last week. Was it his birthday or something? He pioneered the idea that the burden of proof favours the atheist. Then in his old age, due to some reported mental decline, he fell victim to some ghoulish Christian apologists who exploited him and wrote a book in his name. Why believers keep citing that controversy is beyond me, when you can read all about it.