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Here are my reasons:
NFC + EMV secure elements are issued by banks and can't be reprogrammed. You can't switch between them on the fly. You can only house "multiple" EMVs if you can by some grace of god magic convince the different banks, and Amex to take your card to their facility and program it with their secure info and then give it back to you.
E-ink displays are WAY thicker than they can fit in there. They are also made on GLASS substrate, much more fragile than something you want to put in your pocket. If you looks closely at the video the e-ink screen is faked by CGI. It doesn't perfectly register in the same location on every frame. There is a shake.
Driving an e-ink display requires high bias voltage, ~+/-20V. Often done via charge pumps with chips such as TI's TPS65180 (http://www.ti.com/product/tps65180). The chip alone (minus PCB) is thicker than a credit card and therefore a credit card slot. The switching capacitors you'd need to generate the voltage would also be too big to fit within that footprint.