In a world where Biden is of sound mind, plenty of people would. Most people like a happy medium, as the extremes only pander to their bases, and inevitably cause a pendulum swing because the middle is switching back and forth, once the extremes go out of their comfort zone. Biden beat Trump by running as a centrist. He also beat Bernie in the primaries. He lost support by placating to the left, mostly surrounding immigration policy. He also lost some support among the left on the Israel shit, but it was mostly immigration that fucked him, which was being run as basically an open borders leftist hellscape. The tranny stuff didn't sit well with people either. Take those two hard left positions away from the administration and you might've seen a different result in 2024.
I don't know why you think the center is so unappealing. Most of the successful politicians in the west of the past 50 years or so, have been good at balancing the divide, since most people have different leans on different issues, and aren't strictly left or right. A centrist party would gobble up the people in the middle, who aren't MAGA or extreme progressives who have to hold their nose when they vote, and there's quite a lot of them.