I'd first like to start by stating that I am currently a Globe believer and I initially looked into Flat Earth Theory because it seemed so ridiculous. Once I got into it I realized that there are actually valid arguments for a flat earth. This really did shock me. I realize that there are a lot of valid explanations to the questions raised by FE'ers and some things that I don't see how could even be explained except for on a Globe. This got me thinking, though... Science has had the past 500 years to get their explanations in order. You can build pretty tight theories when you have all sorts of eyes on a problem and you're continually adjusting and forcing to get the outcome you want. I mean it took 100 years for the Theory of Relativity to be "proven". Science still can't explain or prove gravity. They "prove" it by dropping a mic, a la Neil DeGrasse Tyson, and saying "GRAVITY!". If I were to say God exists and you asked me how can I prove it and I pointed to everything around me and said "BOOM!", you would say that is not proof and they are not connected. I could say the same for gravity. The laws of gravity are never consistent, can't be messured and they can't actually explain how it works, only that it has to do with mass? (An over-simplification, I know).
My point is, this wave of FE'ers is new and given enough time I think they could backwards engineer some very compelling arguments. Some of things that people point to as proof we are on a globe work the same on a flat earth.
I don't know, just some thoughts I've been having.