Not so sure that we 'Brits' have complete bragging rights over the Turks on Roman remains, it is arguable that it is only in the last 20 years or so we have begun to recognise the extent of roman antiquity in England. The difference is that in most cases we simply built on top of the Roman buildings, whilst the Turks haven't, or at least on a lot of it they haven't.
As to Colwyn's point that the Turks being a 'recent'migrant to Anatolia they have little interest - and resources to spend - as the Byzantine/Roman is not part of their heritage, is possibly correct. Although as someone of Saxon descent I am fascinated by what the roman's and celts did before my forefathers arrival on the English shores, after the romans departure. I am sure there are plenty of other descent including other germanic, norse, norman, french, irish, dutch, russian, central european, carribean, indian sub continent who have come to these shores just as interested as me in the roman and other periods of our shared history.
Which leads me onto another point.. what have the Roman's ever done for us?
