I recently upgraded from 5.5 to 6.1.5, and the publish changes option on the Html Text Module doesn't actually publish the changes while using Content Staging.  It does the same thing if Publish Changes is checked or unchecked.  The content changes get saved, but the publish button shows up below the text area indicating that the publish did not take affect.

With that said, I did actually get the publish changes checkbox to work the 2nd time I clicked on Edit Content.  So these are the steps I had to take to get it to work.  Click on Edit Content, make content changes, click on Publish Changes checkbox, click on Save (Publish button is now below text area after page appears), click on Edit Content, click on Publish Changes checkbox, click on Save, and then the publish actually takes affect.

In DNN version 5.5 the publish checkbox seemed to work just fine, but the HTML Module version was 5.4.3, and it is now 6.1.5 after the upgrade.

Any help in how to get the publish changes to work is appreciated.

That is correct.  The green "Publish" checkmark does work as well.  I am just afraid that one of our content editors will use the "On Save?" checkbox expecting the change to be published, where it actually is not.  I was hoping someone had come across a fix for this.  Thomas, thanks for responding.