I did open a support ticket, and I was told in the support ticket to submit my idea here rather than in a ticket.
If I am creating a list of, say, Wikipedia articles I am interested in, I'm not going to create one note per URL if my intention is simply to have a list of links.
Let's say that I have a list of 10 URLs in a note. Evernote will add the very first URL as the note URL, so I will remove the note URL. Now, if I paste an 11th URL, now that 11th URL is added as the note URL. You can clearly see that in this case, the note URL has no useful function, so I should be able to disable the functionality with automatically adds a new URL for pasted content. If you copy and paste a quote from a website, Evernote will also add the URL you copied the text from as the note URL, even if there was no URL in the text that was copied.
As far as Evernote randomly adding note URLs back, it may not be a "truly random" occurrence, I'm sure there is something I am doing to trigger the URL being added back, but it's not something I am aware of doing, which means that Evernote is triggering this functionality based on non-obvious interaction with the application, which creates a poor user experience.