The beauty of contracting is to learn to deal with starts, ends and gaps. You need to love the gaps because this is where you do stuff for yourself. To create a startup idea that you try to run in parallel with your next start and end. Also your last end helps your next start - you borrow from the last contract and it looks like your new great idea. Remember they wanted your previous experience.
The journey is what matters. Your startup will most likely fail - it might have a 1% chance of success. Your next startup a 2% chance. But creating your own startup will give you the confidence for your next contract to know you have something and the battles you win or lose create you. Your startup that wasted you time and money will also give others freedom to create. It is likely the kid you gave a chance to create a logo ends up with some successful logo dot com website where you failed.