HDFC Asset Management Company

I am interested in knowing if some one has done similar studies about AMC and CAMS like stocks in Developed Nations?
Are there any examples where individual AMC may have done better than CAMS in USA or other Developed Nations?
I think, since those Nations are growing their GDP at much lower rate than India, ideally Indian AMC and CAMS should grow at least 2-3 times faster than Developed Nations. Since it is claimed that Indian GDP growth is the fastest in the world. Can we say that, Indian AMC should grow at much faster rate than Developed Nations and also their Valuations should remain high or grow even further.

Also, since Indian Digital economy is growing much faster than Developed Nations, due to large adoption of UPI, Net Banking, and other Digital channels, Is it possible that, AUM growth will be much faster in India. (Personally I do not believe so, but I can see that, lot of big claims are made by some financial experts hence curious…)

I am curious to have these perspectives.