The axis numbers (Axis.1, Axis.2) don't mean much. In a PCoA plot, axis 1 and 2 are Principal Coordinates 1 and 2.
But those number in brackets are important!
In your second plot, Axis.1 [42.1%] means that 42.1% of the variation in the distance matrix can be explained by that axis, while only 20.9% can be explained by Axis.2. Because more variance is explained by Axis 1 (about 2x more in this case), the distance between points on this axis should carry more weight in your analysis.