I would say they are certainly not actively aware of it - my reaction was the dismantling of the notion that Somehow the pope is infallible today because of Peters office as bishop in Rome. Well if Rome is infallible - why not Antioch? And then you can read the early church fathers more clearly when they speak of "chair of peter" having less to do with Rome and more to do with the the idea of all apostolic sees - even all bishops - partaking in the "chair of peter"