Both Metrics and Dropwizard were created by the same person, Coda Hale.
Metrics was created before Servo. Some folks at Netflix wanted to use Metrics but ran into fundamental differences of opinion with us (Yammer) that we weren't willing to yield on. So Netflix built Servo and Dropwizard kept going with Metrics.
What weren't you willing to yield on? If it was that metrics should have dimensions, Netflix has the stronger argument.
It looks like the author for Metrics is also the author (one of the authors) of Dropwizard.