Ok. I figured it out. Me creating a new folder (PowerCLI) inside of the module folder and unzipping the files to that folder, instead of just unzipping the contents of the zip to the module folder, was the culprit.

IE: I unzipped the files to C:\Windows\System32\WindowsPowerShell\v1.0\Modules\PowerCLI\ INSTEAD of C:\Windows\System32\WindowsPowerShell\v1.0\Modules\

That extra folder is the reason. Thank you for your time!