The first time I came into contact with BTC, I felt that there was little difference between e-payment and BTC. However, with the gradual understanding, e-payment and BTC are becoming more and more different.
In essence, electronic payment is the circulation of legal currency in one or some countries, while BTC is the circulation all over the world（ If every country agrees)
If I remember correctly, the first time I made payment using Bitcoin was in 2013, and it was for CryptoThrift. Waiting 10-15 minutes to get the confirmation was new for me, and I was nervous about it initially. Gradually I got used to lengthy delays in getting a confirmation. Back then, there were not much options to spend your coins and a lot of people were wasting their BTC with Satoshi Dice (Bitmit and CryptoThrift were the only market places, AFAIK). Everything changed by mid-2013, when the exchange rates suddenly went up from $5 per coin to $250 per coin.