If I'm an elected politician, I'm focused on keeping my constituency happy so that I can stay in office.
If Action X makes 30% of the people I represent happy, but pisses off the other 70%, then not taking it makes sense but only if I know I face a real political consequence for doing so.
If Action X makes 30% of the people happy and every single one of them votes, while only some of the other 70% will, then it absolutely makes sense for me to take Action X.
Every single person in that other 70% can vote "no confidence" and I'm still safe as houses so long as I'm keeping my 30% happy.
It's not until voters coalesce around another candidate who can garner 31% or more that I face any real threat. And if the only vehicle they are using to attempt this is a mark on a ballot every couple of years or some white-hot memes on social media, then it's entirely possible that I could die in office before that threat materializes.