>when compared to commercial HMOs, Medicaid HMOs and Medicare HMOs.
That's not all private insurance, just some of it.
That's also talking about the average.
>although there is high variation in quality across individual VA facilities
...
>It's the usual "review effect", you only see negatives about the VA, not positives.
You're saying in rebuttal to a negative review of private insurance, which isn't even what's at issue. Difficulties getting things covered and being buried in beurocratic nonsense isn't really connected to "health outcomes on average".
Your source doesn't make the argument well.