I was able to reproduce your problem with Mojarra 2.1.14 on Tomcat 7.0.30 (and using standard JSF h:xxx equivalents of those ICEfaces components). This is blamed to broken state saving mechanism of nested ui:repeat in Mojarra. I'm honestly not sure which one of the Mojarra bug reports on "nested ui:repeat" covers your particular problem, there are too many reports and your particular one is new to me.
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