The JSP tag writeHeadContribution [ xhtml = true ] does not set the proper CDATA tags for text/html

When using the JSP tag writeHeadContribution with xhtml=true, the CDATA tags which are written are correct for pages served as XML (#1), but wrong for page served as text/html (#2).
But the second option is mainly used, because it enables a better compatibility across browsers.

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#1. For a XHTML page served as XML (text/xml, application/xml, application/xhtml+xml), it must be:

<script type="text/javascript">
<![CDATA[
script code
]]>
</script>

#2. For a XHTML page served as text/html, the CDATA tags must be:

<script type="text/javascript">
//<![CDATA[
script code
//]]>
</script>