The pain being made is: If you use a search engine as your eyes to see what exists “on the internet”, then, absolutely, whatever Google hides from its results or fails to index is “erased” from “your” experience of the internet.

If you use an iphone then yes, apple is indeed "erasing" illegal streaming in the same sense that google is. We can be nostalgic for the old internet while also recognizing that at least google is well within their rights not to serve up results that fall outside the bounds of the law. (Apple not so much. When you gatekeep the hardware platform I think you're ethically obligated to act as a common carrier. Unfortunately the law doesn't require that.)

> Apple doesnt allow all sorts of apps on the appstore, but that is never said as "Apple is erasing illegal streaming"

Because they are not "erasing" anything, they are refusing to provide a platform that enables the direct (app whose intended purpose is) delivery of illegal content to you.

The difference being one will not facilitate the activity, while the other, is actively suppressing it. And thats what is meant by erased.

Your question in other comment If I ask Siri to give me a link to illegal streaming site and if it refuses, then that would be the better comparison. Then we could say "other seedy corners of the internet that have been neatly erased by [Siri]"

If the companies weren't trying to destroy trust and take everything away from everyone these things would never have much traction but now they deserve to have more than ever.