Spotify integration is not currently available on ecobee Switch+ (not yet, at least). But there are many ways you can listen to your favourite music, podcasts or audio books by simply asking Alexa on your Switch+.
Enable Amazon Prime Music for thousands of songs, albums and podcasts, or listen to hundreds of radio stations from TuneIn. You can also listen to radio stations from iHeartRadio or SiriusXM (and soon Pandora). You can also listen to audiobooks from Audible.