To make everything easier to understand below, lets call the normal king which can castle and be checked 1, and the king which can check and is a normal piece 2.

I think 2 would do almost equally as well as 1 at endgame, since you can't use it to check 1 unless it is guarded or you are sacrificing it. I think it would make a good company for 1 if 1 was castled with 2 by its side to help protect the pawns. I think that 2 should be worth 3 points since it has such small movement but can protect 1 quite well too.
Well, if it's called 'king' it sure is important, therefore it deserves 1000 points. However, since the kings movement is so small, maybe it should be renamed 'peasant' or 'random person' who cannot capture and is worth 0 points and can be promoted into a pawn somehow....