Assuming these plugs are Labeled/Listed are they ok for a permanent installation? Just noticed this installed under a drinking fountain?
"Permanent installation" :? Is the electrician, that is installing the branch circuit, providing the triple tap for Utilization Equipment specified on the job plans?
--OR-- is the building's occupant placing the triple tap to add Utilization Equipment? Here, if this is the case, other regulators (Fire Marshall, Insurance, OSHA, drinking fountain manufacturer's instructions) might have something to say, but, as Charlie B notes, the triple tap is not part of the Premises Wiring (System) as defined in NEC Article 100 Definitions.
The triple tap, plugged into an existing Receptacle Outlet, is as "permanent" as the supply cord from the drinking fountain, itself.