Call yourself whatever you want but as long as you grant greater rights to original appropriators of scarce (rivalrous) resources relative to latecomers then we are allies.
Many people formerly of the left, who have bid good riddance to their former political home, believe they can retain the mantle of authentic liberalism while ignoring its free-market component. They don’t want socialism, and they appropriately dislike the right-wing. But they also can’t abide the libertarian commitment to free markets either. So they declare themselves centrists void of ideology.