Just "name" for the label is enough, KISS

ContainerTrackerMetrics.cs

@@ -24,7 +24,7 @@ namespace DockerExporter
 
         private static readonly Counter BaseFailedProbeCount = Metrics.CreateCounter("docker_probe_container_failed_total", "Number of times the exporter failed to collect information about a specific container.", new CounterConfiguration
         {
-            LabelNames = new[] { "display_name" }
+            LabelNames = new[] { "name" }
         });
 
         private static readonly Histogram BaseInspectContainerDuration = Metrics

ContainerTrackerResourceMetrics.cs

@@ -72,7 +72,7 @@ namespace DockerExporter
 
         private static GaugeConfiguration ConfigureGauge() => new GaugeConfiguration
         {
-            LabelNames = new[] { "display_name" },
+            LabelNames = new[] { "name" },
             SuppressInitialValue = true
         };
     }

ContainerTrackerStateMetrics.cs

@@ -41,7 +41,7 @@ namespace DockerExporter
 
         private static GaugeConfiguration ConfigureGauge() => new GaugeConfiguration
         {
-            LabelNames = new[] { "display_name" },
+            LabelNames = new[] { "name" },
             SuppressInitialValue = true
         };
     }