Although a ComputedFolder supports the disable functionality and can be used by appending /disable to the folder URL, they do not show the Enable/Disable button in the UI.

According to the code, I think it should work https://github.com/jenkinsci/cloudbees-folder-plugin/blob/cloudbees-folder-6.11/src/main/resources/com/cloudbees/hudson/plugins/folder/AbstractFolder/view-index-top.jelly#L45-L68 but Multibranch / Organization folder fo not show that button. The UI seeems to match that Jelly but never passes the condition !it.supportsMakeDisabled()