The the point is the same, you're making the claim so the burden is on you to defend it.
Consider if I claimed that gays make better parents: they are less likely to abuse their children, tend to be more affluent, tend to live in areas with better public education, etc... and then said "now prove me wrong". That's not how it works, I could just drown you in a deluge of difficult to disprove claims.
The burden is clearly on the person making the claim.