This is really not accurate. There are many topics where appealing to evidence or statistics is Not Allowed in leftist discourse. There are certain realities that are defined as not possible, politically, and permitted discourse flows from that.

The far right is even worse about this, appealing to braindead conspiracy theories, bald religion, fascism.

But the left is _really bad_ as well. Not “conspiracy theory gun nut” bad, but nowhere near “well balanced intellectual curiosity.”