Although if I don't have an adaptor maybe I wouldn't normally have Chademo filter on. I wonder if there's a way to work this in Plugshare so I can discover it?
I don't think there's a way for users to edit the list of plugs directly except when creating new PlugShare entries, but it is possible to contact PlugShare customer service (via the "Report" link) and they can do it. I did this once myself for a parking garage in New York City that was listed as supporting only Tesla Destination charging, but they in fact also supported J1772. I don't know if the garage had an actual J1772 EVSE or an adapter (parking was valet only), but either way, the garage charged the Chevy Volt I was driving at the time, and PlugShare updated the description after I reported this success. Thus, you could contact PlugShare and explain the situation at the New Orleans site under discussion. They may have a policy about this sort of thing.
Personally, I'd say leaving the plug list as-is, but noting the availability of the adapter, would be best, since adding a Tesla Supercharger plug to the description would be confusing and potentially disappointing to users who expect a true Supercharger station. Adding a Tesla Destination plug would also be inaccurate, but at least users would be more likely to be happy rather than disappointed at the station's speed. Either way, users who don't read the full description to learn that Teslas are supported via an adapter might become frustrated when they see only a CHAdeMO station.
CCS is much higher power, right? Like closer to a Supercharger? Wikipedia mentions CHAdeMO 2 up to 400 kW coming along; not sure whether that'd be yet another adapter and a further software update.
Most CCS stations in North America today are 50kW or slower, the same as most CHAdeMO stations. In the US, 150kW and faster CCS stations are beginning to be deployed, but they're still relatively rare outside of Electrify America sites. (I'm pretty sure that not even all Electrify America sites provide 150kW chargers.) I don't know offhand if faster-than-50kW CHAdeMO stations are currently being deployed. My understanding is that Tesla's CHAdeMO adapter is limited to 50kW, so even if faster CHAdeMO stations become available, the current adapter will max out at 50kW. In theory, Tesla could develop new CCS and/or CHAdeMO adapters that can handle more power, but I've heard nothing concrete about that, at least not for the North American market. (The CCS adapter for Model S and Model X in Europe exists, or at least is being developed, but that won't do North American motorists any good.)