That depends, and the biggest factor it depends on is whether or not they are competent. I mean, I know more about computers than the official IT people anyplace where I have ever worked. Where I work now is the first place I’ve been where anybody in IT even knows what Linux is!
Some of your terminology confuses me a little since I am used to different names/terms for certain things, but I think I may have figured out the menu option you are thinking of though. Bear with me.
The Recycle Bin is basically a folder where you put all of your stuff that you want to delete, but it doesn’t actually delete the files until you explicitly tell it too. (Well, unless you set it up to delete automatically like I do, but most people don’t.) Until you actually empty the recycle, you can just move the contents back out if you change your mind. This can be accomplished with the right mouse button; right-clicking causes a different menu to pop up, and there should be a choice that pops the files back to their old folder.
However, once you empty the Recycle Bin, then you need something like Recuva.