<component id="Processors" service="System.Collections.Generic.IEnumerable`1[[Services.Interfaces.IProcessor, Services, Version=1.0.0.0, Culture=neutral, PublicKeyToken=null]]" type="System.Collections.Generic.List`1[[Services.Interfaces.IProcessor, Services, Version=1.0.0.0, Culture=neutral, PublicKeyToken=null]]">
  <parameters>
    <collection>
      <list>
        <item>${Processor1}</item>
        <item>${Processor2}</item>
      </list>
    </collection>
   <parameters>
</component>

<component id="Processor1" service="Services.Interfaces.IProcessor" type="Services.TestProcessor, Services">
  <parameters>
        <example>LIVE</example>
        <id>Processor1</id>
  </parameters>
</component>

<component id="Processor2" service="Services.Interfaces.IProcessor" type="Services.TestProcessor, Services">
  <parameters>
        <example>TEST</example>
        <id>Processor2</id>
  </parameters>
</component>

public class InjectIdSubDependencyResolver : ISubDependencyResolver
{
    private const string SpecialName = "id";

    public bool CanResolve(
        CreationContext context, ISubDependencyResolver contextHandlerResolver,
        ComponentModel model, DependencyModel dependency)
        =>
        dependency.TargetType == typeof(string)
        &&
        dependency.DependencyKey == SpecialName
        &&
        dependency.Parameter?.ConfigValue == null;

    public object Resolve(
        CreationContext context, ISubDependencyResolver contextHandlerResolver,
        ComponentModel model, DependencyModel dependency)
        => model.Name;
}

IWindsorContainer wc = ...;
        wc.Kernel.Resolver.AddSubResolver(new InjectIdSubDependencyResolver());

<component id="Processor1" service="Services.Interfaces.IProcessor" type="Services.TestProcessor, Services">
  <parameters>
        <example>LIVE</example>
  </parameters>
</component>

<component id="Processor2" service="Services.Interfaces.IProcessor" type="Services.TestProcessor, Services">
  <parameters>
        <example>TEST</example>
  </parameters>
</component>

public class Processors {
    public Processors(IEnumerable<IProcessor> collection) { /**/ }
}