Bitcoin is not competing with Paypal or Visa its competing with the US dollar. So in a sense the relationship between Bitcoin and Paypal is like the Trojan horse and Troy. If we get bitcoin inside paypal, then that will be a big blow to the US dollar.
You are right. I agree with your speak. That's true if bitcoin and paypal can involve with each other then it will be big and more powerful.
As like neteller and skrill. So, only bitcoin can't overcome paypal, because paypal is the best payment gateway and its so old. Bitcoin will going very fast. as we see it future.