Going to disagree with you here. In many (I'll even say most) cases, being an executive or respected consultant at a large company with established resources, staff, and customers will give you significantly better opportunity to actually solve a big problem. The vast majority of startups are not, in fact, solving big problems. They are solving small problems for a small subset of people who need problems solved (usually yuppies) because those are the problems they are able to solve efficiently.
What you probably mean is that startups are good at innovating a potential solution to a big problem. But this is an entirely different thing than actually solving it at scale, and is the reason many startups end up getting bought or acquihired before they do anything of large importance.
What you probably mean is that startups are good at innovating a potential solution to a big problem. But this is an entirely different thing than actually solving it at scale, and is the reason many startups end up getting bought or acquihired before they do anything of large importance.