As a consumer, the choice of payment method comes down to a tradeoff between convenience and cost. When a merchant offers credit card payment or cash, oftentimes customers will choose credit card or debit card because it is convenient and costs no more than when paying with cash. The credit card issuer may even be offering a perk to provide incentive to pay using a credit card.
But that is really a subsidy as there are costs to the merchant when payment are made using credit card. There are tens of billions of dollars that go to payment card networks each year. Merchants don't actually pay this, they simply add the cost to their prices.
Some merchants either refuse to offer credit card payments, or they offer two sets of prices. You'll see this at gas stations, where payment for fuel pumped at the lower price must be given in cash, whereas the higher price is charged when payment is credit card.
The reason this "cash discount" isn't seen more often is because credit card companies had built into their agreements a "no surcharge" restriction. Thus you couldn't add the fee after the sale depending on which payment method was used. In the U.S., the card companies were just forced to abandon that part of their merchant agreement. So you may start seeing surcharges when you use a credit card (in states where that isn't prohibited). This will likely push many towards paying with cash.
But cash is not always convenient nor cheap. ATM fees can cost 5% to 10% for the smaller withdrawal amounts for many accountholders. Merchants have losses due to employee error, theft and management of the cash. An electronic alternative would be welcomed by both consumers and merchants, if the fees would be less.
So if your merchant accepts only cash or bitcoin, or csah, bitcoin at one price and credit card at another higher price, you won't be asking what benefit bitcoin has but instead you'll be appreciating how it is saving you money at every purchase.
Merchants also like bitcoin for additional reason. There are no chargebacks, so if you as a customer are due a refund, the merchant would need to issue it -- versus today's fraud-laden method where the consumer initiates the chargeback, whether it was founded or not.
There are many other advantages to Bitcoin, included here: