Both those meters have the same 1yr 100mV range accuracy, and only have a 3Adc current range (the Keithley seems much better spec). You could compare both those meters at say 50-100mV to get some confidence that they haven't strayed far from their original accuracy, but be mindful that unless you keep the meters on full-time and keep them close to 23C ambient, the meter may have a significant tolerance itself, and especially for readings well below 100mV FS from the shunt.
Even with the +/-0.25% shunt, your uncertainty could still exceed 1% when used with your meters if you don't take some effort to cross-check your meters, and importantly use a fan on the shunt to keep its temp rise as low as practical (even at 50-60A where the accuracy of the meter gets worse). But I think that is the best and easiest path to take.
Martin72, I think the comment about banana plugs was for the voltage sensing connection to the voltmeter - perhaps look at the link to the 0.1% shunt, and to the Murata 0.25% shunt for context.