I don't think it has any significance. There are no even and odd modes in the microstrip patch antenna in normal operation. It only has one conductor and one earth.
A microstrip patch could be fed from underneath at the centre, but it would no longer be operating as a microstrip patch, it would be a top-loaded short monopole over ground. This would be an even mode, with both ends of the patch at the same potential. The microstrip mode has the ends at opposite potential, so could be thought of as an odd mode. The two feeds can also be fairly well isolated from each other. It may be possible to tune the centre feed to operate at the same frequency as the microstrip patch.