All the people I know who like to think about issues deeply generally hate to be described as left or right and much prefer to reject labels.

Sometimes I'm not sure they actually can't be labelled, and sometimes the difficulty in labelling them comes from an overall lack of coherency rather than a truly uncategorisable position, but, I don't know anyone who calls themselves a centrist and could talk about politics in any depth. Centrism seems mostly, at least where I live, to be what people call themselves when they just support the status quo and wish politics would go away.