Moved indirect lighting multipliers to MaterialUtilities

com.unity.render-pipelines.high-definition/HDRP/Lighting/LightLoop/LightLoop.cs

             // Build light data
             var envLightData = new EnvLightData();
 
+            float indirectSpecularMultiplier = VolumeManager.instance.stack.GetComponent<IndirectLightingController>().indirectSpecularIntensity;
-            envLightData.multiplier = probe.multiplier;
+            envLightData.multiplier = probe.multiplier * indirectSpecularMultiplier;
             envLightData.influenceExtents = probe.influenceExtents;
             envLightData.blendNormalDistancePositive = probe.blendNormalDistancePositive;
             envLightData.blendNormalDistanceNegative = probe.blendNormalDistanceNegative;
 
         void PushGlobalParams(HDCamera hdCamera, CommandBuffer cmd)
         {
-            IndirectLightingController indirectLightVolume = VolumeManager.instance.stack.GetComponent< IndirectLightingController >();
+            IndirectLightingController indirectLightVolume = VolumeManager.instance.stack.GetComponent<IndirectLightingController>();
             Vector4 indirectLightData = new Vector4(indirectLightVolume.indirectDiffuseIntensity, indirectLightVolume.indirectSpecularIntensity, 0, 0);
 
             using (new ProfilingSample(cmd, "Push Global Parameters", CustomSamplerId.TPPushGlobalParameters.GetSampler()))

com.unity.render-pipelines.high-definition/HDRP/Material/Lit/Lit.hlsl

     // Subsurface scattering mode
     float3 modifiedDiffuseColor = GetModifiedDiffuseColorForSSS(bsdfData);
 
-    // Apply volume indirect multipler
-    builtinData.bakeDiffuseLighting *= _IndirectLightingMultiplier.x;
-    lighting.indirect.specularReflected *= _IndirectLightingMultiplier.y;
-
     // Apply the albedo to the direct diffuse lighting (only once). The indirect (baked)
     // diffuse lighting has already multiply the albedo in ModifyBakedDiffuseLighting().
     // Note: In deferred bakeDiffuseLighting also contain emissive and in this case emissiveColor is 0

com.unity.render-pipelines.high-definition/HDRP/Material/MaterialUtilities.hlsl

     else
 #endif
     {
+        // Apply control from the indirect lighting volume settings - This is apply here so we don't affect emissive 
+        // color in case of lit deferred for example and avoid material to have to deal with it
+        builtinData.bakeDiffuseLighting *= _IndirectLightingMultiplier.x;
+        builtinData.backBakeDiffuseLighting *= _IndirectLightingMultiplier.x;
 #ifdef MODIFY_BAKED_DIFFUSE_LIGHTING
         ModifyBakedDiffuseLighting(V, posInput, surfaceData, builtinData);
 #endif

com.unity.render-pipelines.high-definition/HDRP/Material/StackLit/StackLit.hlsl

 
     // Subsurface scattering mode
     float3 modifiedDiffuseColor = GetModifiedDiffuseColorForSSS(bsdfData);
-    
-    // Apply volume indirect multipler
-    builtinData.bakeDiffuseLighting *= _IndirectLightingMultiplier.x;
-    lighting.indirect.specularReflected *= _IndirectLightingMultiplier.y;
 
     // Apply the albedo to the direct diffuse lighting (only once). The indirect (baked)
     // diffuse lighting has already multiply the albedo in ModifyBakedDiffuseLighting().