Well, I'm not the one who's saying Burke's relevant to conservatism. Conservatives appeal to Burke as their originator. So the question is whether that wishy-washy defense of tradition makes for a distinction between conservatism and liberalism. I don't think it does. My view is that there's no such thing as a viable form of conservatism that differs from liberalism. Do you think liberals are opposed to all possible traditions? Obviously, liberals are fine with liberal traditions.

The question is what it means to say that a tradition no longer "serves." Conservatives and liberals will differ as to their reasons or criteria for judging traditions. Liberals assume humanistic principles, and conservatives reject them because conservatives implicitly prefer policies that have medieval outcomes (dominance hierarchies, etc).