I tried it out and still nothing is coming through. I do have a couple thermostats attached to my account which is causing me to wonder if that is having an impact on the situation.
I placed the client_id and client_secret in my config, restarted HA, clicked the new integration for nest in HA and added the authorization from Nest. After saving I was given just the two entities I have in the previously attached image.
climate: platform: nest was added later to attempt to give me some more information.
I’m having the same issue, tried to configure via the integration tab and manually using the configuration.yaml file with the same result. Do you have to add the climate: section in the config?
Was this ever solved? I have the exact same issue. I get a few options, but no climate.x to read temperature etc. I will try to set-up the config from scratch again and post an update if successful.