The engine is all that matters to me. Certain sites work differently on different engines. The only reason I leave Safari is for a different engine that often works better on less popular or more niche sites (PKI and some other issues). I can't do that on my iPhone. I wish I could.
I know many people, not technologically inclined, that just try different browsers on their computers when a website doesn't work. They don't know they are trying different engines, they just know it works on their computer. They also don't know that this methodology doesn't work on iOS. They still try.