Original sentence: Nevertheless, in modern pseudo-archaic usage such as "Ye Olde Englishe Tea Shoppe" it should be pronounced as a normal y, as this is generally the pronunciation intended by the creator of the name
Edited sentence: "Ye" for signs contemporary to the pre-19th century time periods intended to be represented by modern signs would have inarguably been pronounced "The", however where the pronunciation  remains fundamentally an abuse of the source language and a linguistic error, it is common.(However, the modern 20th and 21st century pseudo-archaic usage such as "Ye Olde Englishe Tea Shoppe" may be correctly pronounced with a y sound when this was intended by the creator.The reason for the wide ranging distribution of this error is also clear:  in modern times knowledge of the correct pronunciation is rare