Professional surnames tend to reflect trades that were common when surnames were introduced to a culture. In English, that means ~1066. In Turkey, that means 1934. For whatever reason, there doesn't seem to have been a lot of tentmakers that established family names in England during the Norman Conquest. Not so in other places, though:
The Arabic surnames Kheyyam/Khayam/Khayami are all derived from the word for tent maker, Plachta is Polish, but more closely aligns with canvas-maker, mostly sails. And then theres Zeltman, which is German for tent man (which is ambiguous between "man who sells tents" and "man who lives in a tent")
I feel like if tent-making was such a prevalent profession, there'd be name derivatives from it