I remember reading somewhere some time ago, that when ISPs were asked to release log information to the police, not only did they refuse, but it transpired that there's so much logging information, that it was binned pretty quickly.
I'm not saying that's the case behind the scenes, but that's a serious amount of data to push through - particularly sniffing for the user agent in the packets that pass through the ISP.
That said, if a phone operator calls me up and asks me to stop it, then I probably will, though for me, I already pay for 'unlimited fair use' data (I only ever surf, mail and terminal) so if I want to access that data in a slightly different way - I'm gunna ;-)
I just thought I'd add, that if you place a link to the jsbin paste on a support thread, it'll be likely that Google or some other search engine will spider the link.
Google will regularly spider the link checking for changes (certainly more than once every 3 months) and as soon as the spider hits JS Bin it'll mark the paste as newly viewed - hence keeping it active for longer.
Equally, if this is a concern for a lot of people, I may go ahead and add the option to keep the paste forever.