Indeed, which means Tesla did it wrong. It's good -- not just good but fantastic -- if DC Fast stations put on Tesla cables or if they stock Tesla adapters. I don't know why Tesla didn't just give CHAdeMO adapters to every DC Fast station that isn't next door to a supercharger. As a Tesla driver, I just want to know I can charge in more places. That's why they spend lots and lots of money putting in superchargers. It's not to make a profit on electricity. Instead of spending half a million dollars to put in a new supercharger, they can spend $400 to send an adapter to a DC Fast charger and get almost the same benefit! To me it's crazy they don't do that, and instead created a world where only the small fraction of Tesla owners who carry around their own adapter can have this.
In fact, they should have gone all out -- cables or adapters for everybody, help them speak the Tesla billing protocol, do the billing for them on the Tesla owner's card (perhaps after owner approves the sometimes higher prices.) I really can't figure out why they didn't. If they really wanted to profit from selling the electricity, they could even take a cut of the sales and add a little to the price. Tesla owners don't seem to care about the price, to be frank.
But they didn't do this and it makes no sense. If I were in charge I would be offering a free connector and cable to any DC Fast station going in any location more than a few miles from a supercharger (or even next door to superchargers that get lines.) I would do what I could to get the communications working to do plug to charge etc.
On trading your CdM for CCS -- I have to admit I am amazed at how high the cost on eBay has been for CdM adapters. $800 to $1100. I would have predicted it will crash, and still predict it will crash after the CCS comes out. There are very few places where there is only CdM and no CCS, and those places will vanish. The CCS adapter will be superior in every way (as long as you can get the charge controller update.)