At this point, it isn't in the third party networks best interests to prevent Tesla owners from using their charging networks. I mean - if I were a VC and looking at the business plans for a charging network, one of the first questions I'd ask is "how do you plan to support the vast majority of EVs out there - which, like it or not, are Teslas?"
The largest, by far, actual installed 100kW+ CCS network in North America is Electrify America. Before them CCS was a scrub league compared to Chademo. EA is theoretically independent but it was funded by VW's 'voluntary' settlement with the EPA and the core of the executives team are transplanted VW execs.
It isn't really supposed to be, but with a wink and a nod their priority at this point
isn't revenue today or tomorrow. Or charging revenue at all at this point. Plus ultimately every extra Tesla sold cuts into their future potential leverage on pricing, because that customer can just as easily (more easily, most of the time) use a SC instead.
Also their current actual stall count on paper is low compared to Tesla's. On top of that in the actual there is this "letter of the law" thing with the settlement commitment where they have twice as many cables as they can charge cars at once. It is also a dodge allowed them to satisfy the Chademo requirement without committing a dedicated stall or charging gear to that, as one of the chargers at each site has one cable for the Chademo and one for CCS, and if the CCS one is being used there's no Chademo there. If demand was created locally somewhere it would be pretty easy for the Tesla fleet to swamp most current EA sites, impacting the experience of native CCS users (such that they exist).