your module has some significant advantages over the existing modules

Make sure you (L~R) say why, in the documentation (the README and POD). Also be frank and point out when and why using the other modules could be a better Way To Do It. Such information is without price when evaluating different modules that appear to do the same thing.

And if the author of another module chooses to correct you (because you misunderstood some of its finer points), you can always update the documentation in a later version.