A lot of centrists, are frankly, kind of weak minded. A lot are not necessarily more right leaning but they don't exactly have strong conviction. A friend of mine is right leaning on immigration and economics but at the same time he voted for the social democrats in his country because of over a decade of right wing government and supports Palestine. Some are centrists for the sake of being centrist it seems.

The problem as to why many centrists sound right leaning is because the right captured prominent media platforms, and a huge part of its audience are lonely folks who are susceptible to misinformation, which my friend falls into. Many don't become firmly on right but that doesn't matter for the right wing billionaires funding the media platforms. It's about sowing enough doubt to prevent forming a united front against the billionaire-Epstein class.