I don't know the situation in the US well. In Europe there is a swing towards CCS, so it is pretty much unnecessary to have a CHAdeMO adapter. Tesla cars only have a combined Type 2 + CCS socket over here.
I'm an adapter fan and have a dozen adapters for European mains sockets in the car, but these are only useful for overnight charging.
If the situation in the US is such that many charging stations cannot connect to your Tesla, I think you should urgently bite the bullet and get a CCS adapter or a CHAdeMO adapter, whichever is more useful in the area. Perhaps even get both. The event described here makes it obvious why you want to have at least one of these adapters.
I regularly charge at non-Tesla stations, because they are often more conveniently located. On long trips I prefer the Superchargers, but nearer to the destination, away from the big freeways, other chargers can be very useful.