It'd likely be worse than running in relief and non-fuction. Per the note in the lower right of that page, pump breakage is likely to occur. The relief is in the 3ph valving downstream of the diverter block so without removing the small internal plug when re-installing the external plugs the pump would be deadheaded and would shear the key or damage the pump.
To clarify, this is if you remove the loader permanently like if you sold it. Just removing for non-load work is not usually a problem.
When the valve stays with the tractor and the QDCs are in the working ports there is almost zero risk of the above.
Some loaders are plumbed so the loader valve removes with the loader, so the QDCs are in the pressure and return line vice working ports and you have to connect them together when the loader is removed, or else what is described above happens. This is a very bad way of doing the plumbing on this tractor.