400 A is quite high. A good shunt would habe to be phyical large to get good power handling capability. One may want a special low noise amplifier to get away with a low burnden voltage. For AC only the DC drift would be less of an issue. 60 mV burden would still be 24 W and the current path outside the active area can add to this.
The shunt would still need to be low TC to handle the heating - no need to care about 100 C, as the shunt should not get that hot at all.
Manganin is still a good choice, because of the low resistivity, low thermal EMF (important for DC) and good contacts.
The 2 shunts shown are way to tiny - for good accuray consider 10 x or more physical size. This could be shunt for a higher current (e.g. 1000 A) and using less burden with a better amplifier. Here AC is much easier than DC.
An alternative to consider would be a good current transformer instead of directly a shunt.