I'm still trying to figure out what is preventing plugin code from rendering when placed in a module.

Here is an example where the plugin works in k2 content but doesn't work on two modules on the same page.

bottom module is JB Zentools, sidebar module is J1.6HTML Module that is a simple code only module.

ogdenbusiness.dataz.com/about-us/media/item/2323-its-all-within-reach-ogden-utah.html

Does Allvideo work when placed in a module?  According JB Zentools developers it is supposed to work but I am getting the same result on two sites.

You should put it inside the Custom html module.