With daily transaction? and with volatility being present? I doubt. Ofcourse there would be more people to choose fiat especially those who are just not into investments and online payments. There's more of a tendency that these two would coexist with one another as alternative mode of payments. Using Bitcoin on a daily basis like with purchasing market goods will just make it more complicated. I guess it would be more of a better option if the transaction is something "special" or is needing to avoid taxes from the government. Indeed every transaction has taxes, but imagine buying an onion with BTC than with fiat. But services as such with what OP is offering, I guess is different and would be a better thing to use crypto as mode of payment.
Bitcoin adoption must be done from two sides. Buyers and sellers are two sides of Bitcoin adoption.
If you are using a service, you are a buyer and the seller must accept your bitcoins. Seller also must accept risk of having bitcoins in their balance. The best is a seller must consider bitcoin received from buyers as investment for their business. It is not problem now because not all buyers will use bitcoins as their payment method so a part of bitcoin in a business balance sheet is small and less risky.
In future, if bitcoin adoption is bigger, buyers use bitcoins for payments more regularly and bitcoins become bigger in a business balance sheet, risk can be higher. Fortunately, in future I believe that Bitcoin volatility would be smaller and it makes risk for sellers smaller too.