RichFaces3.1.6 contextMenu does not work in a certain condit

[nazozen]

I use RichFaces3.1.6, JSF1.1, JDK1.4
rich:contextMenu does not work in a certain condition.

Following example 1 and 2 do not work, and only 3 works.

However, you must describe the same menu every each item, and, in the case of example 3, it is non-efficiency.

Is this a bug?
Besides, is there a good hand?

===============================
Example 1
===============================

<rich:contextMenu attached="false" id="menu001" submitMode="ajax">
 <rich:menuItem ajaxSingle="false" reRender="table01" value="Menu001#{TestBean2.selectRow1}">
 <a4j:actionparam name="rowid1" assignTo="#{TestBean2.selectRow1}" value="{rkv}"/>
 </rich:menuItem>
 </rich:contextMenu>
 <rich:dataTable id="table01" value="#{TestBean2.datalist}" var="user" rowKeyVar="rkv">
 <h:column>
 <f:facet name="header">
 <h:outputText value="ID" />
 </f:facet>
 <h:outputText value="#{user.id}" />
 </h:column>
 <h:column>
 <f:facet name="header">
 <h:outputText value="NAME" />
 </f:facet>
 <h:outputText value="#{user.name}" />
 </h:column>
 <rich:componentControl event="onRowClick" for="menu001" operation="show">
 <f:param value="#{rkv}" name="rkv" />
 </rich:componentControl>
 </rich:dataTable>
 <h:inputText id="Text1" value="#{TestBean2.text}">
 <rich:componentControl event="onclick" for="menu001" operation="show">
 <f:param value="0" name="rkv" />
 </rich:componentControl>
 </h:inputText>

===============================
Example 2
===============================

<rich:dataTable id="table01" value="#{TestBean2.datalist}" var="user" rowKeyVar="rkv">
 <h:column>
 <f:facet name="header">
 <h:outputText value="ID" />
 </f:facet>
 <h:outputText value="#{user.id}" />
 </h:column>
 <h:column>
 <f:facet name="header">
 <h:outputText value="NAME" />
 </f:facet>
 <h:outputText value="#{user.name}" />
 </h:column>
 <rich:contextMenu attached="true" id="menu001" event="onclick" submitMode="ajax">
 <rich:menuItem ajaxSingle="false" reRender="table01" value="Menu001#{TestBean2.selectRow1}">
 <a4j:actionparam name="rowid1" assignTo="#{TestBean2.selectRow1}" value="#{rkv}"/>
 </rich:menuItem>
 </rich:contextMenu>
 </rich:dataTable>

===============================
Example 3
===============================

<rich:dataTable id="table01" value="#{TestBean2.datalist}" var="user" rowKeyVar="rkv">
 <h:column>
 <f:facet name="header">
 <h:outputText value="ID" />
 </f:facet>
 <h:outputText value="#{user.id}" />
 <rich:contextMenu attached="true" id="menu001" event="oncontextmenu" submitMode="ajax">
 <rich:menuItem ajaxSingle="false" reRender="table01" value="Menu001#{TestBean2.selectRow1}">
 <a4j:actionparam name="rowid1" assignTo="#{TestBean2.selectRow1}" value="#{rkv}"/>
 </rich:menuItem>
 </rich:contextMenu>
 </h:column>
 <h:column>
 <f:facet name="header">
 <h:outputText value="NAME" />
 </f:facet>
 <h:outputText value="#{user.name}">
 <rich:contextMenu attached="true" id="menu002" event="oncontextmenu" submitMode="ajax">
 <rich:menuItem ajaxSingle="false" reRender="table01" value="Menu001#{TestBean2.selectRow1}">
 <a4j:actionparam name="rowid1" assignTo="#{TestBean2.selectRow1}" value="#{rkv}"/>
 </rich:menuItem>
 </rich:contextMenu>
 </h:outputText>
 </h:column>
 </rich:dataTable>
 <h:inputText id="Text1" value="#{TestBean2.text}">
 <rich:contextMenu attached="true" id="menu003" event="oncontextmenu" submitMode="ajax">
 <rich:menuItem ajaxSingle="false" reRender="table01" value="Menu001#{TestBean2.selectRow1}">
 <a4j:actionparam name="rowid2" assignTo="#{TestBean2.selectRow1}" value="-1"/>
 </rich:menuItem>
 </rich:contextMenu>
 </h:inputText>