Sometimes (maybe a lot) not having time to do something, simply looks like procrastination. I have found that both, procrastination and not having time, have often proven to be better. I found that I really didn't need to do lot of things that I put off for whatever reason. And the results were often a lot better than if I had done them.
you have a valid point here however, not having time to do something is another different thing all together. Procastination is delaying or totally putting off something intentionally. That definitely won't yield a good result.