"Are there any advantages for making simple web requests of using one over the other or does it come down to personal preference?"

It's always developer preference, but what dictates that preference is what matters. Which one is more compact, requiring the fewest number of dependencies? Is one of them core and the other isn't? Does the smallest, lightest one do everything I want it to do? Is it maintained regularly? Does it appear that the authors are responsive, dealing with issues in a reasonable time frame?

I mean for example: Both do what I need them to do. One is in core, the other isn't. One requires Moose and the other doesn't. etc, etc etc.

Look at the future of your project. Do you predict that you'll need features eventually that is in one distribution, but not the other?