Sorry; one final edit:
What you're describing is "bank" where the financial organizations settle transactions using a private media ("the crypto"); but each individual is still dealing with "a bank". In "crypto" you trust "the math" and you don't need to worry about the counterparty absconding with the money. In your scenario, the Argentine service provider is in a position where they trust "the app" not "the math"
Banking is fine; I'm okay with banking. Crypto is also fine, if you're doing one of the 3-4 things "crypto" is good at (mostly crime, but whatever).
But what you're describing is "bank, with settlement not using SWIFT"
Anyhow; my original statement is:
Which shitcoin or shitcoin network is "cryptocurrency" ? Do you mean you're just pushing fiat through stable coins into an exchange? Is the exchange even converting from one cryptothing to another? Are you just asking the peer to shovel bits into a some shitcoin address? If you're just putting fiat into an "exchange" and then pulling fiat out, congratulations, you've invented a pretty ordinary financial service.
You're not describing an actual financial exchange; you're making up some vague situation.
You're probably also breaking some laws around paying taxes unless someone's going out of their way to actually report these activities.
Regardless, please be specific about "pay via cryptocurrency" otherwise you may as well say "pay via paypal" or "pay via putting dollars into a bank of america account I keep open since I was a student abroad."
"cryptocurrency" is doing a lot of work here. I don't see where there's some magic "crypto ledger" in your getting paid for a service. Just an internet service that promises to transmit money from one place to another.