When you do a regular paste (Edit ➤ Paste), you get a Floating selection layer that you can move with the Move tool () before "anchoring" (you can also use the other transform tools, in particular Scale/Rotate/Unified). When you do Edit ➤ Paste as ➤ New layer you get a plain additional layer, and this layer can also be moved with the Move tool (and all other tools that apply to layers).
By the way, if you are pasting text with transparent parts, the Move tool will by default grab the opaque layer where you click. So if you want to move text, you have to click in a character, not in the space between characters.
By the way, if you are pasting text with transparent parts, the Move tool will by default grab the opaque layer where you click. So if you want to move text, you have to click in a character, not in the space between characters.