I think Burke is thought of as someone who at least has some semblance of Catholic Tradition and Law.
You hit the nail on the head here, albeit, inadvertently. Burke really is thought to be
traditional in many respects, just as Ratzinger was considered the great friend of tradition by The Remnant
People such as these have a façade of tradition--they seem to like the "smells and bells" of tradition. I think they actually recognize that there is strength in tradition. They participate in traditional liturgies, or, in Ratzinger's case, traditional-appearing liturgies, i.e., the "reform of the reform" kind of liturgies. But the core principles behind their actions are those of the Revolution
Burke is clearly troubled with the damage that overt liberalism has wrought but he is not so troubled as to put any condemnations into actions.
He talks a "conservative" game but that really is it. Of course, in today's Modernist society, talk is all that really seems to matter to people; so Burke is "thought of" as someone who is pretty darn traditional. There's an old saying, "Talk is cheap." And so it is.
What troubles me more than anything is the way self-styled traditional Catholics defend him. Many of his actions are very liberal while many of his actions are very conservative and even traditional. This is the essence of Modernism
and traditional Catholics should recoil from anyone who can play both games with such skill and cunning.