The edges of your floor don't look right to me. I guess they got beaten up when they were installed.
The edges are supposed to be very straight. There are actually two types of edges in cork flooring. one is straight edge, which will give you the seamless look (so you should not see the edge when you are standing on the floor). Another is beveled edge, which will show the seams, very straight. Some people prefer to have the seams shown so that's why there is such beveled edge product, but the edges should look very straight, not like the ones shown in your photo.
And cork itself is fine with water, it is the middle layer that is causing the problem The middle layer is made with high density fiberboard (some brands use cheap middle density fiberboard), this material can absorb water and is therefore vulnerable to moisture. So if the seam is wide open, water can go down and reach this layer easily.