Riding is training, training is riding. Having a power meter (and, to a lesser extent, a HR monitor) means I don't have to go out on explicit "structured training" rides. My head unit records power and HR (and speed, cadence, and altitude) and then my apps tell me how much training effect there was (by time, distance, power zone, heart rate zone, intensity, or speed) so I don't have to think about them during a ride. I just ride, the apps keep track of almost everything else. I guess I do have to remember to weigh myself and update the apps every once in a while.
What that means is I don't have to have a fitness or training goal for any particular ride -- I do have goals over a period of weeks, and the apps do a reasonable job of keeping me on track so I don't have to worry about any single ride. That's pretty liberating.