The Tesla Destination Chargers have an internal DIP switch that sets the communication protocol it uses. Either set to SWCAN - which is Tesla's proprietary com protocol (used in the Tesla SuperChargers), or set to the J1772/CCS protocol which is the North American standard. Since a Tesla 'speaks' both SWCAN and J1772/CCS, it doesn't matter to a Tesla which DIP switch setting the Tesla Destination Charger is using. Apparently the logic behind the DIP switch was that if the charge station was installed for home charging, there might be 'other' EVs in the household that then could also use the Tesla charger. On the road, the minor problem with the Tesla Destination Chargers is, since it is just a DIP switch, it may not be set 'correctly' during install, or subsequent service of the station. However, since the Tesla Destination Stations appear to be clearly marked either 'Tesla Only", or "Any EV" (see below), even if some Tesla driver gets huffy about a non Tesla EV charging up at a Tesla Destination Charger, it can be pointed out that Tesla makes that particularly marked charge station available to any EV.
From Tesla:
Tesla Destination Chargers
These are like other destination chargers although they can often be 3 phase which gives a charging boost. They also sometimes load share where one charger will deliver as much as it can, but if two chargers are in use, the power supply may be split so that both cars can charge. They are also tethered so you don't need a cable. These tend to be found at hotels, restaurants, and other places where you might want to visit and if you are reliant on the charger you should ring ahead to check access, many places require you to use their facilities although they may offer the charging for free in return. Look out for the signs behind the chargers, those with a red background are for Tesla cars only, the white background are suitable for any car that can take a Type 2 cable. It's not uncommon for people to be confused over whether non Tesla's can charge at a Tesla charger, the only time it works is on a Tesla Destination Charger with a white background or a Tesla home charger. *note that this description from Tesla was provided by a UK user, but may be able to assume similar for USA.

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Mark H.
2015 i3 Rex, Capparis White, Tera World, Technology & Driving Assistant, Parking Assistant, Harman Kardon Audio System, 19 inch 427 wheels, EVoInnovate EVSE