Well, it sounds to me that the Rev. Puckle was trying to shoe-horn his idea of British involvement into the archaeology. To claim that it was created by British in the style of Roman architecture is really stretching it, but that is doubtless what he wanted to see. If it looks Roman, it will be Roman.
I wouldn't be too certain about the CLBR tiles either. Currently in St. Mary in Castro there is a small selection of Roman artefacts on display in the church and at least one of them displays the fleet stamp (see top left in the display case below). CLBR tiles alone are arguably not 100% indicative of the fleet involvement though - not all roof tiles on fleet structures were stamped so, and it is possible civilian buildings in the are may have used them as they were a 'job lot' manufactured locally. The villa at Folkestone being a good example.
I agree that it would be fascinating indeed to see the foundations.