I updated code to handle the case better. I decided that in case it is used in module, we won't display page heading because when it is needed, you can easily add it yourself (for example, when module is loaded in an article or a page using page builder extension)
So please download latest package from My Downloads section, upgrade it to your site and update us with the result
I've just downloaded and updated a dev site. Looks like no headings on the module - also looks like no headings on the menu item component views, so not sure I've got your latest version.
Either h2 or no heading works for me - no heading gives flexibility to use module advanced header tag option to set the header level, but I can see why it might cause problems to some to remove the header now.