There are no Lightroom "patches". Each incremental update is a completely new Lightroom program. The installation of these updates replaces previous versions on Windows computers. On Mac computers it is necessary to remove previous updates. On your system, when you talk of patches to your Lightroom, are you referring to an older version of Lightroom? If that is the case then that is why the CC manager is wanting to install Lightroom 5. So if you could provide a little more information and details about what you are using, we can probably provide better suggestions.
I was going to install the latest patch and noticed that the CC manager does not seem to know that I have LR installed. So it does not present a "patch" or update, it just wants to "install" LR5.
That's normal behavior - because of the strange way LR and CC talk to one another the new version isn't shown as 'update available' but as a whole new app. When you click the install button it will do an in-place upgrade, replacing your previous LR5.x software and keeping all your settings. You can get the offline LR5.6 installer from https://www.adobe.com/downloads/updates.html and run that, they do exactly the same thing.
If you have LR on more than one computer then using the offline installer is a much more sensible option, as it saves downloading 900MB per machine. Apologies that the CSS for the download page is borked. Links work though!
Thanks for the quick reply! Makes sense now.