So, I don't think they will add these wallets in their website any sooner, but I would also like to request them if they would add these wallets as all these wallets are being used in daily life based on cashbacks that they provide, so Unocoin is sure to profit from this.
No. Payumoney also is privately owned. I feel the reason that unocoin used BMS and PayU Money is that one cannot transfer money from one account to the other and money can only be added or spent through these wallets. Paytm, Freecharge and Mobikwik are risky wallets as money can be instantly sent to other accounts and the cases of fraudulent transactions are higher.