Earlier quoted context omitted.
Yes, when you completely rephrase the problem you will have different sentiments. The thought experiment demands that the phrasing that was used actually be used, and you don’t get a chance to show the dumb blue people how smart you are before they pick their button.
The problem isn't rephrased. Option Red = 0% chance of death, Option Blue = chance of death but maybe you can be the hero and save everyone. So we all choose option Red and you, the hero, chose Blue. Congratulations, we will write some nice words on your tombstone.
The only reason I’m in my tomb is because you and people like you voted to kill me instead of voting to do nothing. Luckily for me, I’m dead and don’t care.
Congratulations! Enjoy your life with people who think like you.