It's not a gibe. I used scare quotes around free because it's obvious that a socialized system is funded by taxes, what's not obvious a bill is always generated during healthcare delivery in the Canadian system.
You yourself seem to not understand this distinction with your comment: "no charge at the point of service".
There is always a charge at the point of service and a bill is generated. The difference with the US is that the Canadian healthcare system, which also functions mostly privatized, uses a single payer model so the government is the only one legally permitted to pay for insured services. In other words, each province runs a large insurance company and there is a law that states that no one is allowed to charge any person or company other than the government insurance plan for anything the government has deemed reimbursable for any person covered by the plan.
(So you don't misinterpret my statements again: while government run hospitals, but not the physicians working in them, do get capitation payments they also bill for some services. What is billed vs paid through capitation varies by province. Services rendered to uninsured patients are never from capitation funds and are always charged directly to the patient).
If the services rendered or you are uninsured, like the patients in the article study, it functions the same as the US and you will personally receive a bill in the mail with similarly obscene rates much higher than what the government insurance company would have paid.
This distinction has everything to do with the article and GP's point which asserts that the Canadian government will bear some cost for the care of the patients in the California study which is flatly incorrect. If there was no charge at the point of service none of this would matter.