To be honest if you don't get out of control with it breeding really isn't that time consuming.
Say you save up and buy a nice pair.. you have to take care of them... simple water changes and feeding.. if you cycle their tanks it's a breeze.
Now you spawn them. You culture live foods (which is simple if you don't overcomplicate the process), feed twice a day or more if you can, do a water change every day.
At most you should spend 30-45 minutes... most of which is spent slowly siphoning the water. The bigger they get the quicker you can do changes because they're less likely to get sucked up. Add in a cycled sponge filter and you can even get away with every other day changes.
The two hardest times are when the fry are very small and when the males must be jarred. You can't really get around young fry but you can selectively cull males or just keep the spawn small from the get go.
Many breeders sell males straight from the grow out if they need to reduce stock or give away to pet stores or cull in the strictest sense of the word. It's completely up to you how many jars you want to change.
Plus if you use larger jars (upwards of a gallon) you can even get away with every other day water changes.
Long winded and seems scary but I promise it's really not that bad. However you have to be dedicated and organized with your time.
ETA... The time consuming part comes in when you do multiple spawns at multiple ages, hold fish back to create lines, hold fish to show, etc. You can breed as a hobby without breeding to create lines.