It would seem that the end user has no idea what "cut" means. I never have to "go back to the original directory to delete the originals". That is what "cut" is for.
Besides, as other comments pointed out, one can make a multiple selection, and then, in conjunction with "cut", it will work exactly like the feature described at the end. 🤷♂️
I think what the user is trying to say: I'm moving a large number of files to different locations. So selecting a large number of files and copy pasting isn't really helpful. I can imagine navigating to a folder, selecting the right file, copy, navigate to the other folder, paste etc. to be very inefficient. I can imagine in such a case a copy to / move to feature is useful and I have seen that feature in a lot of other places.
Of course the user would be helped somewhat if he understood what cut meant and the other commenter isn't really helpful in this aspect. Just saying: "There is cut" doesn't help if the user doesn't understand what cut means.
Also calling a user out like this is really uncool, the user obviously doesn't have English as a first language and/or has trouble expressing their selves. This doesn't invalidate them or their request.
The context menu would literally say "Move To"/"Copy To" and open either a further drop-down with potential destinations:
... or a pop-over dialogue something like this:
Originally Windows pointed this feature to users' Downloads, Pictures, and Documents Folders, but as you can infer from the screenshots, the menu was configurable.
I do not need and probably wouldn't impliment this feature in a mobile file manager app, but I would be telling the OP I just don't want to do it because its my app with my aesthetic/sensibilities in mind, NOT gaslighting/trolling them that its already implimented.
That's my initial impression as well, but it also seems that they just don't care, and will refuse to until its made clear to them just what a bad look this is, and nothing short of an accusation of impropriety has done the trick yet.
I doubt english is their first language, but more importantly, it seems like there's a culture disconnect versus mainstream western pr bullshit ... which actually serves a useful purpose for once, in this instance.
Tbh I am not surprised there are people who don't know what cut is. When I was in school a lot of people around me though it was just the graphical button to delete things. I think UI tried to solve the problem since them : cutting won't delete a file but will just shade it, which makes it more obvious that you should do another action.
This is barely related, but I've recently discovered it using Firefox and just wanted to share my misery. If you're not using Chrome with the Google Docs extension, then Google Sheets will REFUSE to let you copy and paste with a right click context menu. But you can just press the keyboard keys to do so, or use the menu options to do so.
Like...what? It works, but they refuse to let you do it with the context menu, despite including them in the context menu.
If you try, it pops up a window and tells you that you have to install their extension or pound sand.