My opinion....
If indisputable proof came out that the earth is flat, I think it would be significant in exposing the veil that has been cast over us by the powerful organizations of the world. Would we know what to believe anymore?
If there's indisputable proof that the world is round, then TFES would call it fake. And, I believe that's the current situation we're in. TFES needs a reason to exist, and accepting evidence that the earth is round would put an end to that.
...obviously biased as a RE believer.