To me, worrying about the definition of touring is a waste of time. Just enjoy whatever bike-related experiences you have.

I've loaded up my bike and ridden the west coast, self-supported. That was definitely touring. I've also loaded up my bike and ridden 2 miles to a local state park with a really nice hiker/biker site, because I wanted to get away from the phone/computer/everything for a night. Was that touring? I don't care; it was fun, and peaceful - just what I wanted/needed.

There are lots of modes of bike travel that might qualify as touring. I've always gone self-supported, but while in Montana on the Northern Tier I passed a group that was supported. They carried nothing on their bikes. They had an SUV with a trailer. Not only did it carry everything, it also went ahead and set up rest stops along the day's route. I came upon them with a table set up with big jugs of ice water and lemonade, cookies, pretzels, fruit, etc. They also had comfortable chairs set up in the shade. (And they were nice enough to flag me down and offer me everything they had. It was great!) Their support people got to the campgrounds before them, so that their tents were all set up when they got there, the coolers were full of ice cold beverages, the chairs were set up, etc. Their existence was not Spartan like mine, but they were touring.

I recommend self-supported, multi-day (multi-week) touring as the epitome of the experience, but there are so many other enjoyable modes. Just enjoy!