A modern name for the sloop role

What modern procurement label could describe the traditional sloop role?

Global patrol vessel fits the lower end, while global presence ship fits a higher-end vessel approaching a light frigate.

A slower, patrol-oriented sloop could be called a global patrol vessel, extending the familiar offshore patrol vessel label. A better-armed ship approaching the light-frigate category could be a global presence ship. The distinction separates constabulary endurance from a greater ability to represent national power and respond to danger. It preserves the sloop's worldwide patrol and diplomatic function without presenting every such hull as a high-end frigate. The proposed terms also connect procurement language more clearly to the missions each ship would perform.