Componente Árvore PrimeFaces, configurando o nó selecionado do bean gerenciado

Estou executando o Primefaces 3.2 e o JSF 2.0 no Glassfish 3.

Eu tentei muito, para programaticamente definir o nó selecionado de um bean gerenciado. Isso inclui a configuração do nó selecionado assim:

public void setSelectedTreeNode(String name) {
TreeNode root = treeBean.getRoot();
List<TreeNode> tree = root.getChildren();
for(TreeNode node:tree) {
  if(node.getData().toString().contains(name)) {
    System.out.println("found the node to select");
    treeBean.setSelectedNode(node);
    break;
  }
}
RequestContext context = RequestContext.getCurrentInstance(); 
context.update(":navForm:treeSingle");
}

O "encontrado o nó a ser selecionado" é impresso no terminal, mas o nó não é selecionado na Árvore na página da web.

A árvore é assim:

<h:form id="navForm">
<p:tree id="treeSingle" value="#{treeBean.root}" var="node"  
       selectionMode="single" styleClass="treeStyle" 
       selection="#{treeBean.selectedNode}"
       cache="false"
       >  
   <p:ajax event="select" listener="#{treeBean.onNodeSelect}" update=":mainForm" />
   <p:treeNode>  
       <h:outputText value="#{node}" escape="false" />  
   </p:treeNode>  

Edit: TreeBean é construído assim:

@ManagedBean
@SessionScoped    
public class TreeBean implements Serializable {  

private TreeNode root;  

private TreeNode selectedNode;  

public TreeBean() {  
    root = new DefaultTreeNode("Root", null);  
    TreeNode node0 = new DefaultTreeNode("Node 0", root);  
    TreeNode node1 = new DefaultTreeNode("Node 1", root);  
    TreeNode node2 = new DefaultTreeNode("Node 2", root);  

    TreeNode node00 = new DefaultTreeNode("Node 0.0", node0);  
    TreeNode node01 = new DefaultTreeNode("Node 0.1", node0);  

    TreeNode node10 = new DefaultTreeNode("Node 1.0", node1);  
    TreeNode node11 = new DefaultTreeNode("Node 1.1", node1);  

    TreeNode node000 = new DefaultTreeNode("Node 0.0.0", node00);  
    TreeNode node001 = new DefaultTreeNode("Node 0.0.1", node00);  
    TreeNode node010 = new DefaultTreeNode("Node 0.1.0", node01);  

    TreeNode node100 = new DefaultTreeNode("Node 1.0.0", node10);  
}  

public TreeNode getRoot() {  
    return root;  
}  

public TreeNode getSelectedNode() {  
    return selectedNode;  
}  

public void setSelectedNode(TreeNode selectedNode) {  
    this.selectedNode = selectedNode;  
}  
}

Alguém tem alguma ideia de como fazer isso?

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