skeptigirl,
The effect is the same as what is referred to as rationing when talking about UHC:
Private insurance-based system
If you can't afford to pay for the treatment yourself, and your insurance is maxed out, you can't get the treatment (not rationing) because if you could afford it, you could get it...
UHC:
If you can't afford to pay for the treatment yourself, and your national-supplier won't pay for it because of cost-benefit considerations, you can't get the treatment.
People commonly refer to this as rationing, even though the treatment might be available for someone with private funds to pay for it. (And I do not mean on the black market, as would be required under a system of "true rationing").
Whether you are technically correct is a different matter, but you are never going to get even a substantial minority to accept that the UHC case isn't rationing. In this situation, as almost everyone refers to the UHC situation as rationing, it is better to point out that equivalent "rationing" -maybe with quotation marks, also occurs under the private insurance-based system.