Yeah you won’t be able to use a keybaotwedge type hid device to output memory content just uid. The reason is various tag types store data differently and reading the memory pages work differently for different chips.
You can use a software solution that reads the memory and inserts what you want into the keyboard input buffer.
You’d need to mod the software to read memory vs just the UID but it’s possible to do whatever you want and “type it out”