A 360 turn back onto finals isn't the turnback as I was taught because it's a glide circuit!
A turnback, as Beagle agrees, is a landing on the airfield but not necessarily on the same runway as the one you departed from.
I would much rather land back into wind and if any option was available to do so, I would take it. A turnback is for situations when the other options look very poor.
Left hand circuit at Dundee, anyone?