True. However, that would require a closed loop, with essentially a heat exchanger somehow installed at the base. My take on the story was that they were planning to pump out the water they found at that depth, not inject water from the surface and heat it.
When I lived in NM they were working on the inject water and heat it model in the mountains west of Los Alamos. This was several decades ago. Last I heard they were still working on it.
A heat exchanger would be more compact than sticking a pump down at the bottom.
You can't suck water up from that far down, you have to have the pump down below pushing it up.