First, medical records are in a state of constant flux, that is they would require updating as you health conditions change. So unless you have a USB 2.0 jack in the end of your finger, that’s a problem.
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Actually, not that hard. Think pet chips. There is a code that goes to another computer that has all the info. the Computer file is updated, the chip only has the number.
Add codes, like are already used for medical care, procedures and drugs at hospitals and it would be a snap to update the file on the fly.
If you had read what I wrote you would have found that I said the same thing that you did. That is the RFID only holds a unique ID number which serves as a key into an on-line database. The article and some of the comments however assumed the chip held the records themselves which is clearly not practical for the reasons stated. In point of fact it is more likely that in implementing such a system that key cards similar to credit cards would be distributed rather then using the RFID invasive technology.
Regards,
GtG