You said there’s plenty of sites, so just go on to the next one, right?
You don’t need a name to kill them when you’re supposed to be doing that to everyone.
Clearly, it is all about earning ISK. The only reason for this idea would be to scare people away from your sites. Let me repeat this, because you Can’t Understand Normal Thinking, the only reason you need to shoot someone in this game is because they are there. If you have the ability to catch a prober, then do it; you don’t need to wait for them to cherry pick a site.
If you want to know who is cherry picking the cans in your space, you figure it out yourself.