Most of these payment systems are just a wrapper around GOI's UPI (which is one of the best things to come out of India in the past decade)[1]. The money remains in banks throughout the transaction. Additionally, very little of people's money is stored in digital wallets and that too for a short period of time (anecdotal). However, yes it should be a cause of concern for any country when foreign firms are tightly involved in its economic sector, and we cannot discount interventions on basis of internal security and geopolitical situations.
[1] https://en.wikipedia.org/wiki/Unified_Payments_Interface