Some things can't be trouble-shot using a multi-meter. Like timing circuits. If you use a volt meter, you may see the meter fluctuating or hanging around 5 volts, but when using a scope, you can see the square wave of highs and lows and know that the circuit is doing what it's suppose to be doing, i.e., the high of the square wave would be 5 volts for example and the low would be zero. If the scope showed that it was straight DC (only 5 volts and no drop to zero), then you'd know there was a problem. You probably wouldn't catch the problem using just a multi-meter.
It's sort of like using a timing light to check the repetition of something, i.e., a fan. You adjust the timing light until the fan appears to stop, then you look at the adjustment on the timing light to tell you if the fan is within specs. With the scope, you adjust the scope until you can see a pattern or wave. If it matches what the specs are, then you know you're good to go. If it doesn't, then you figure out why.
It is sad that most electronic repair places are moving to board-swapping because it's cheaper to swap a board than it is to trouble-shoot said board. If you figure in the cost per man-hour to trouble-shoot a board compared to the cost of that board, it's no wonder why companies are getting rid of their scopes. I'm glad I have and know how to use one. Give me a schematic and I can fix it (multi-layered PCBs excluded...lol).