When circuits become larger than trivial, the analog way is noise and temperature sensitive, you will spend a lot of time on tweaking those aspects by themselves.
And while scopes do take time to learn, learning about scopes themselves will convey a lot of fundamental information about electronics. I also wouldn't underestimate the difficulty in learning how to use microcontrollers. While using something like Arduino (boards, shields, development tools, and libraries) may be straight forward, the learning curve rises steeply as soon as you try to do anything truly independently. More steeply, I would suggest, than learning how to use an osilloscope. Besides, most of those development boards cost a lot more than a bare chip.