Earlier quoted context omitted.
I pay with my credit card even for In the case where they don't accept credit, and I can't be bothered to go make the purchase somewhere else, I'll just tell them to take the dollar bill and keep the change. Not having to deal with loose coins is worth it. How is carrying, paying with, and managing cash in your wallet more convenient than tapping a credit card or your phone?
In the asymmetric centralised case of a reasonably established business accepting payments from thousands of people (and barely, if ever, issuing payments in the other direction) it's not. It's about the same, barring this hyperbolic stuff about "despising" coins. In the generalised case, e.g. I need to pay my friend, or a builder, or a taxi driver, or someone at a market stall - essentially any standalone human, it'…
Unless, as I mentioned in another reply, your intention is to hide such transactions for whatever purpose - i.e. I know quite a few merchants use cash payments to avoid paying taxes.
But that's all from the merchant's perspective. From the consumer's perspective, how does any of what you mentioned above matter? I have an account, a friend has an account. I send him money via Venmo or Paypal or whatever. The middleman might take a trivial fee for the transaction, but it's so trivial I nor the recipient are likely to care, and is outweighed by the convenience factor over using cash.
With cash, we have to meet and exchange the money. Or use snailmail. With say Venmo, I open the app, press a few buttons, and my friend has the money in seconds even if he is physically hundreds of miles away.
If I'm paying a merchant, then I just swipe or tap my card to the reader, wait a few seconds. I get a receipt and I'm on my way. I'm old enough that I made a few online purchases by sending cashier's checks through the mail. It was not a pleasant experience.