Red vs Blue button solved 100% logically (which this isn't the real world scenario anymore because people already know of the dilemma)

Red is always the correct option if you are thinking logically, because the probability of your vote changing the result is so unbelievably low that picking blue is basically just a ethical choice. If your vote doesn't make a difference, then choosing red has 0 drawback compared to picking blue. Blue becomes a completely emotional response or a savior complex (also your vote is PRIVATE so even if blue wins there are 0 repercussions for pressing red)

Unless you're one of those people that wouldn't live in a world were red won or want to end it all there is 0 reason to pick blue, because the chance that your vote is the deciding one is around the same chance you draw a royal flush, so basically impossible

Now the actually interesting part

Red vs Blue but the internet version this time

Because we already know of the problem, we can actually try to influence the choice that other people will make

Here you have 2 hypothetical paths(Not pressing a button is objectively worse than pressing blue or red, you have to be mentally insane to consciously make that choice)

First is convince people to choose blue and try to avoid any deaths possible

Second is persuade for red and accept that some people will die (even though no one has to if we work together and pick blue)

This leaves us in a conundrum where the logical choice is still red, but the correct side to support is blue, because it's the only side that can avoid any casualties shall this happen in real life. By outwardly supporting red you are creating a snowball effect and a self fulfilling prophesy that could inevitably lead a great amount to their demise. There's too many diehard blue pressers, babies and others to support red and think that at the VERY least 15-20% of the population will instantly die (Imo its closer to 30-35%). i think this duality is the root of the discussion

Easiest way to avoid deaths is giving social punishment to anybody that doesn't pick blue, guarantees that blue will reach over 50%, but that's going into morals and matters that I don't feel educated enough to address

Tl;dr: Pick red but support blue

P.S: If the entire world did this problem for the first time again but irl I don't think that blue would win