The safety margin for upsets in heat generation, cooling fluid unbalance, and operarig transients is greatly increased by ensuring zero superheat in the outlet fluid, and to avoid dryour overheat in the outlet section, wet steam would be the design objective.
There was an externally fired superheat on one of the Con Ed reactors , which was an oil fired superheater.
The current research effort at the Gen IV supercritical reactor SCWR is attempting to show that superheat can be provided within the reactor, but my own opinion is that unbalances in flow to the "worst" channel would cause an unacceptable overheat in the outlet of that worst channel . Standard unbalances of channel effective diameter, heat flux patterns ( at worst unabalanced mdoerator condition), flow unbalance due to inlet distribution plate issues combined with the swift deteriioration in fluid heat capacity above the "pseudo critical point" has been shown ( in the 1950's) to lead to unacceptable outlet temperature unbalances when all heat is absorbed in a single pass device.