Exactly. Depending on a specific person's needs, will be the form of payment to use. Because of this, it's very unlikely that either Bitcoin or traditional payment processors will dominate the world of finance. Aside from being two distinct things, they have their own unique advantages/disadvantages. People who prefer blazing fast transactions would choose traditional payment processors on top of Bitcoin. For other people, Bitcoin is an All-in-one solution for finance as it provides censorship-resistance unlike any other payment system to date. Of course, traditional payment processors still have the lead within the mainstream world because many merchants support them. But Bitcoin could also reach the same level of traditional payment processors in the future, if it continues to grow in development and innovation.
With the Lightning Network underway, Bitcoin could easily become comparable to the likes of Visa and even Mastercard. It's only a matter of time before this happens, as developers are working hard to make Bitcoin a better place. The only issue would be price volatility, but that could easily be solved via the use of a stablecoin like Tether or USD Coin.
Nonetheless, both Bitcoin and traditional payment processors will stay head-to-head for many years to come. I believe that there will be a diversity of blockchain networks, as well as, traditional payment processors that will cater through the needs of everyday users. The latter could easily adopt Blockchain technology for their own benefit if they desire. Once they make the switch, they'll be as good as Bitcoin and other cryptocurrencies within the mainstream world. Just my thoughts