There's a third party involved here, the payer. The payer (according to tfa mainly Finnish Social Security (Kela) here) needs to know what they are paying for and on who's behalf. You can't just conduct medical treatment pseudo-anonymously like that.
That's ignoring the fact almost nobody will accept having to keep track of an "alphanumeric ID" to get treatment.
That's ignoring the fact almost nobody will accept having to keep track of an "alphanumeric ID" to get treatment.