This started off as a question, then I found the answer (noted below), so posting anyway in case others have the same problem.
I have an HTML content feature that was created using the out-of-the-box FAQ template. Now when I try to edit it with the WYSIWYG editor (CK) the special tags are all replaced with simple paragraphs. This is not happening on your demo site, so it must be some setting or config difference, but I'm not aware of having changed anything since this last worked.
I've upgraded to mojoPortal 220.127.116.11 with CKEditor 443 but it made no difference. I am seeing this in both IE11 and Chrome.
On clicking "edit" Fiddler shows this request:
which includes this content in the response, showing the special FAQ markup:
<textarea name="ctl00$mainContent$edContentinnerEditor" rows="10" cols="70" id="ctl00_mainContent_edContentinnerEditor" style="height:350px;">
<dt>How is the data stored?</dt>
<dt>Can I use the ArcGIS Toolbox tools for geoprocessing GISquirrel layers?</dt>
<dd>Yes, but please read <a href="/geoprocessing" >this guidance</a>.</dd>
however when the editor clicks into place, the content has been changed to this:
<p>How is the data stored?</p>
<p>Yes, but please read <a href="/geoprocessing">this guidance</a>.</p>
I have now found this is related to the changes from CKEditor 4.1 described here http://docs.ckeditor.com/#!/guide/dev_advanced_content_filter
combined with the fact that our site was using a custom CKEditor configuration (e.g. <add key="CKEditor:ConfigPath" value="~/ckeditor-myconfig.js"/> ).
Switching to the default config fixed the problem, so I can now re-modify the default config to our purposes.