TL;DR
<h:form>
<p:inputText required="true">
<p:ajax event="click" immediate="true" process="@this" update="@this" />
</p:inputText>
</h:form>
<h:form>
<p:inputText required="tru<h:form>
<p:inputText required="true">
<p:ajax event="click" immediate="true" process="@this" update="@this" />
</p:inputText>
</h:form>
<h:form>
<p:inputText required="tru