It's definitely a true smoker when you use wood chunks.I'm surprised you are getting that thick of a smoke ring without an actual true smoker.
I used to have an offset which is the standard classic, but I find I get better smoke and better smoke rings using the barrel.
Whatever you do don't soak the chunks. My neighbor does that and it's the most acrid smelling (and tasting) thing ever. No idea why one would even think about doing that.