That's IT infrastructure incompetence, not an EMR issue.
At the two healthcare systems I go to, both utilize RFID badge readers plus PIN. In the ER and urgent care, nurses need only tap their badge and enter a quick pin and they're in. It's taken them seconds to pull up my records and I've never noticed a delay in care.
In the PCP's network, everyone seems to get smooth and quick access often while we're conversing, and I can see all my visits, lab results, and so on. The major annoyance is that I get emails notifying me I have a "message", instead of even offering me the option of receiving an email with the actual message.
I don't think people understand how expensive and time consuming the non-electronic stuff was. I remember my mother spending considerable amounts of time trying to get records from labs and doctors and having to shelp a lot of it by hand.