What method are you using? And can you post screenshots showing us exactly what you are copying, single items multiple items text or mtext. Having tried it here 2021 LT it works just fine for both text and mtext using 'copyclip' and the Ctrl+v, but what I am using may be greatly different to what you are trying.
Look carefully at the extents of the blue grips when you highlight that first rotated text item. copy and pasting using the method you are using will paste using the lower left corner of an imaginary box drawn around the extents of all items selected, so even on a small text item if the actual grips are extended over a longer distance it is that area that will be used.
What you are seeing is the result of the geometry that you have selected, the left corner of the selection area for a horizontal text just happens to coincidentally be the lower-left corner of the actual text content. If you were to select a text item that had been rotated 'up' rather than 'down' then it would also behave better. To work with the items you are selecting you need to learn how to cooperate with AutoCAD and how AutoCAD behaves so in this case copy/paste is not the correct method, you need to use 'COPYBASE'' or Ctrl+Shift+C' and select the point you wish to use as the copy point, that is how the program is designed. If you don't tell AutoCAD which point you want to use then it will use it's own programming logic to select that point for you.
