Condensate Drain Piping Of Fan Coil Units

Yes, if you can tolerate standing water in the tube.

This would be a good example of faulty engineering. On a ship, it could be tolerated because the ship moves, but not in a building.

The function would be achieved in both the ship and the building, viz. that gravity will make the water flow as long as the FCU drain pan is higher than the rest of the pipes. Unlike soil pipes, the concern here is not to have a slope to result in scouring velocity in pipes.

The only additional information I have is that the specs call for the condensate pipes running inside the masonry walls of the toilets en route their eventual connection to the floor gulleys to be also insulated. I wonder what is the point of insulating this portion of the pipe that might just cool the wall a bit but the condensate on the ceramics if any would not be a major concern nor an eye sore?

The 1° slope is to prevent water from accumulating in the pipe, and freezing in cold weather thus bursting the pipe. If the pipe sections involved are indoors and will never freeze, you don't have a problem. If not, live with the potential leaks, or trace heat the pipe.

I hope your verdict enjoys majority consensus namely that the slope can be omitted due to pressing circumstances as long as the pipe is not exposed to the elements.