Chris,
All the chromosome browser allows you to see are how YOU match the matches.
The statement is accurate, it does not allow you to see how your MATCH matches the other matches.
95% of the time (I think this was Jim Bartlett's estimate - segmentology.org), yes, if you can see that you and the other matches are at the same spot of the same chromosome AND ICW each other, you are reasonably safe to assume triangulation, but for 100% you really do need to check that the matches do actually match each other there.