See the "
Motiviation" section in the spec, which discussions the non-friendliness of remote JMX. In addition, MP Metrics includes metadata like Units and Description, not to mention an easy-to-use annotation-based developer API (influenced by Dropwizard).
I love that I can add a circuit-breaker Fault Tolerance annotation, and with the Fault Tolerance integration with the Metrics spec auto-generating metrics, quickly and easily graph it in Grafana with near zero effort. The specification integration is quite nice, IMHO.