I think Startups surviving without their founders is hard, regarless of the geography. Time, Industry Volatality, Mature Team are some of the factors that can make it easier.
With time, the organization becomes more likely to survive without the founder - depends on the industry though, some areas are too volatile. I think in India, considering that the internet ecosystem is young, there is more volatality. There is so much that needs to be built (think, logistics). These need a vision and perspective that only founders usually carry.
Also, I have seen many American startups having several employees who have previously worked at other startups. Less so in India. Mediocre and inexperienced middle management will always be over-dependent on the founders.
I wonder if this also has something to do with the culture - generally I feel that we Indians are bad at being organized (always late, jugaad, 'chalta hai' attitude) which makes it harder to setup smooth system and processes.
Finally, I have also seen indian organizations to be more bloated than their western counterparts. We tend to throw labour at all problems. Something needs constant updating? Hire a data entry guy. What about automating that? Similarly, customer issues? Hire more customer support executives. Umm, how about relook at the product, whats causing so many of these issues?
Clearly, bloated organizations are going to make things tougher to transit to management teams.
ps: wow, it takes so much time to write! Can't do this during office hours anymore!