The burden of proof is automatically on any person, society, organization or entity that makes a claim that contradicts a fact that has been extensively and exhaustively proven in the scientific community - through countless repeated experiments, mathematical derivations, instruments that have been specifically developed on the basis of aforementioned evidence and for the purpose of navigating a round globe, and testimony by any person that has ever so much as been on a high vantage pointed and noted the curve of the ground as it approaches the horizon. Why don't you tell the pilots that regularly fly commercial airplanes from New York to New Dehli that the Earth is flat? Are all 107,000 airplane pilots in the U.S. "in on it?" How about the retired ones? Why are they all keeping their mouths shut? Surely ONE, at least one of these fine, upstanding citizens would expose the alleged round earth conspiracy.
It is very easy to prove to yourselves that the Earth is round. The burden of proof is not on the people that have personally circumnavigated the globe in airplanes, boats, and balloons and that have reached the expanses of beautiful Antarctica and haven't found a wall of ice blocking their path. What a preposterously stupid notion. The burden of proof is not on the people that have seen with their own eyes that the Earth is round and that have the brains to comprehend the incontrovertible mathematics that prove it. If you want to prove to yourselves that the Earth is round (or flat, it really doesn't matter), get in a rowboat and start rowing. The result will be very good no matter what happens. Either you will eventually arrive at roughly the same location that you started at or you will die in the journey and eliminate your mental incompetence from our collective gene pool. Someone so idiotic so as to claim that the Earth must obviously be flat because it appears flat within their limited scope of vision at a low altitude doesn't really deserve my serious consideration and surely cannot ever demand that I carry the "burden of proof." I will tell them to go mountain climbing on their next vacation and to look at the Earth from a high vantage point. The curvature is obvious, believe me. Better yet, don't believe me. Go see for yourself.
If I take a high resolution photograph, open it with my photo editor and then proceed to increase the zoom level to 100000%, do you think that the photograph will still look the same as it does at 100% resolution? Of course not. The same principle applies to your so-called "default position." You cannot claim that the Earth is flat when your scope of visibility is a few miles (at best) while the circumference of the Earth is 24,900 miles! Your eyes do not work like that and science does not work like that. Such reasoning is that of a toddler, which is why I can scarcely believe that many of the proponents of these claims are adults. So, sorry, but your "default" position is extremely flawed and certainly not shared by everyone, mainly, those that have for themselves perceived the truth of the Earth's curvature. The burden of proof is back on you no matter how you look at it. Enjoy.