It should probably be the other way around, that liberals have a reality bias, but it doesn't quite land. Liberalism is based on what can be proven. Especially in science, starting with some preconceived reservations leads to inaccurate models. If you can't articulate it, all the worse. Even things like categorization and taxonomy can't account for our in-built intuitions, there's always an exception. So, we really must try a tabula rasa type approach. This tends towards a, you guessed it, a world view more constrained by reality, which typically falls left (see, most of academia).
I'd say holding on to heuristics is good, but I don't think we'd be where we are today by not trying to rethink, destruct, unravel, play, squish, open many mental gateways.
If your contention is with Whig history then we might agree. But I don't think there's any surity in being sure.