I'm not sure why that would be a problem. Telegram could easily make bitcoin and/or cash a payment option like countless VPN providers have. No "real info" necessary.
Bitcoin and other crypto coins are very inaccessible. Even disregarding transaction fees, you can't really get bitcoin without giving your payment details to someone.
Yes, countless VPN providers do need your payment details. And that is a risk. The comfort in that risk however is that anyone with knowledge of your VPN payment still doesn't know what you did with that VPN. With a messaging app however, you are risking your entire online identity.