That's not a good enough reason. I worked for a large company and know others who work for large companies and find the work very rewarding.
The choice of what experiences will best suit you on your way to starting your own company is more personal than black and white comparisons. Not all big companies are evil empires designed to crush you (e.g. Google) and not all startups are rosy playgrounds for engineers.
In the end, as expressed by several people here, it's a personal choice that has to fit your own values and which experiences you want.
Google is "designed to crush you"? Hmm.
So the key is then, presumably, to somehow try to make sure you get one on the correct end of the spectrum. Starting one yourself probably helps with this.
Your coworkers and (possibly more importantly) your managers, are critical determining factors in how it all works out for you. Probably more so than whether you have a choice in technology, etc.
People don't leave companies, they leave managers.
There are good and bad managers at both small and large companies. One advantage of going to a small company is that you're more likely to get to meet the exact manager you'll report to during the interview process. One disadvantage is that there is a much wider range of how good a manager they are, because they probably have fewer peers to compete with. Managers take a lot of flack, but to manage teams at a big company like Google or Amazon you probably have to be at least decent at what you're doing, whereas at a small startup you might just be the person who got there first.
Years ago, I was hired to work at a small tech startup. After a few weeks, the CEO met with me and said it seemed to him that I didn't have a lot of respect for the opinion of my manager (who had never managed anyone in a tech company before, and never done any development themselves.) I told him straight out, no, I didn't respect their opinion - I didn't think they were qualified to be a manager. (Needless to say I didn't stay there very long.)
Best of all... while you're still young and dumb enough to abuse your body and get away with it, you can put in your 8 hours at the big company, come home, and put in another 8 hours at your own startup before life and its varied responsibilities catch up with you. And the whole "cash" thing shouldn't be overlooked either. While it's great to have a ramen-profitable startup, nobody should literally live on ramen.