The first time I tried a hamam towel I did not get it. Give me the terry towel!
The second time was in a hamam in Istanbul where they gave me the best Turkish terry towel for drying myself after bath. The hamam towel, instead, was what I wore when they were washing and scrubbing me.
The concept of the hamam towel got clarified.
This was a couple of years ago and since then, I have been looking for nice hamam towels for poolside and beach use. This summer I found them, here.
Sometimes you have to drive a long way from home to get what you want.