And I only recently discovered that Ctrl+Ins and Shift+Ins worked in my Emacs despite me never configuring it; and it even works in the minibuffer. It also worked in a couple of terminal emulators I have tried on Linux. It's really more universal than one might think.
It's unfortunate that the accidental standard also happened to be the one requiring the use of both hands. I think that's why Ctrl+X/C/V won in the end.
It doesn't. Shift+Del, Ctrl+Ins,... can be done just using the right hand, while Ctrl+X/C/V uses the left hand. And sometime you may want to use two hands, which can be done in both cases by using the other Ctrl and Shift key. I actually use both kinds of shortcuts, depending on the situation.
Del and Ins are also conveniently close to the cursor navigation keys (arrows, home, end, PgUp, PgDn).
The reason I think Ctrl+X/C/V won out is that it is more convenient when using the mouse, it is also better with nonstandard keyboards where the "Ins" key is awkwardly placed, if not missing entirely.