I think I’m right in saying Emma have decided not to build new connections based on credential sharing (screen scraping). So they will need to wait for these providers to release APIs for accessing their accounts.
I’m not sure about the other two but NS&I have not yet released an API, despite indicating for a long time (I reckon at least a year) that they will. https://www.nsandi.com/open-banking-your-questions-answered
So I doubt we’ll see an NS&I connection anytime soon.