Hi Ed,
My memory turned out to be incorrect: it was just the other way around

. The only winning position is when 50 is a piece. With pieces on 47, 48 or 49 the position is indeed known to be a draw.
I looked up the article of Leo Springer in 'Dammen' no. 1 from January 1985. In this article he does the following claims with respect to the position with 4 kings:
a) with an extra piece on 26 white wins (from the key position with white kings on 33/44/49/50 and black on 5 the main variation is 26-31 33-47 5-46 44-39)
b) with an extra piece on 16 it is a draw
c) with an extra piece on 6 it is a draw, since in the key position black can play 5-46
d) with an extra piece on 1 it is a draw
e) with an extra piece on 2/3/4 white wins
f) with an extra piece on 5 white wins (49-16 46-10* 47-15 10-46* 15-10 5x14 48-31 36x27 16x5+)
g) with an extra piece on 15 white wins (from the key position: 48-42 46-5 42-33 5-19 33-44)
h) with an extra piece on 25 white wins by losing a tempo: 48-34 46-5 47-24! 5-46 24-33 46-5 33-47 5-46 34-48
i) with an extra piece on 35 it is a draw
If 47 is a piece and the black king is on 3, then white wins after 49-32 3-12 47-42 12-29 42-37 29-20 32-16! 20-15 48-34! 15-4 34-23 4-15.