I don't think the definitions matter because it's not a competition but I tend to think of bike packing as something similar to hiking, on more remote or rugged trails and such, not whether one uses certain specific bags or not. Touring tends to conjure a more here to there trip that involves using a bicycle as the mode of transportation. One can see how they might overlap but also what the differences are. If you go where cars also go (or similar rail trails and bike paths) you are probably touring. If you are riding where they can't or might need 4 wheel drive, you are probably bike packing.
Bike packing: sounds a lot like backpacking.. mainly because it is.
Touring the country you say? By bus train, car or bicycle...
Last summer I toured the Gulf Islands and did a little bike packing while I was there.
