As Tony alluded to, there are a different approaches to lighting...
1. Often, photographers are "doing the best with what they've got" in that given a set of lighting conditions, we look for scenes and subjects that "work best" in those conditions and the odd time break the rules and come up with something totally unique.
2. At other times, perhaps when life isn't so phrenetic with other commitments, we might choose the time of day (hence lighting conditions) and weather conditions to work in, be it a misty early morning, a raging sunset, or whatever moves you.
The general "rule" is that nature and outdoor photographers prefer working in the Golden Hours because there are more opportunities for dynamically-lit subjects with pleasing characteristics, albeit the light is fleeting as the sun rises higher or sets. But this is all highly personal and is linked to the preferences and style of the individual.
The Golden Hours is a great starting point where the chance of success is generally higher, but you must also be adaptable to changing light and weather. That's where I have my greatest success - when the light is changing and the sky is changing you start to see things that are not as obvious in "predictable" light. After all, we are human and when we get into a routine we often stop "seeing".
In my early days of professional photography, my manager once said to me, in a rather sage-like way, "you're lucky if you get six days in a year of perfect conditions for photography, however you wish to define perfect". I thought "Only six days! You've got to be kidding!"
Every time I look back over my work from the year, his words come back to me. Most of my days are "sketching" and "exploring" days when I come back with photographs that are about 80 to 90% "there". The shots are great, even rewarding, but I realize the lighting and/or ambient conditions were not ideal for the subject. And about six days each year (sometimes fewer), the lighting, ambient conditions and elements come together in that perfect storm of "perfect" conditions. The killer is when you see those perfect conditions coming together and you have an commitment that can't be changed. That's when mental pictures will have to suffice.
As Tony said, the best thing to do it just get outside and experience the whole gambit of lighting conditions. Shoot what you like, keep and learn from what "works" for you. Most of all, just enjoy being out.