Thanks for bearing with us while we were looking into this!
We've heard back from the right teams that currently we don't support this functionality through Chromecast or when using Spotify Connect. This would explain why you're having troubles viewing the video content of a podcast when using a Chromecast device to cast to a TV.
With this in mind, we've moved this thread back to the Help boards and marked this post as the solution so it's more visible for users looking for more help about this.
However, if this is something that you'd like to see in the future, we'd recommend adding your +VOTE and feedback to support this idea. For more details on how ideas from the Community can get implemented, we'd suggest taking a look at this Spotify Answer.
We hope this is helps clarify things but don't hesitate to give us a shout if there's anything else we can help with.
Have a lovely day 🙂
Help others find this answer and click "Accept as Solution".
If you appreciate my answer, maybe give me a Like.
"Kindness is the language which the deaf can hear and the blind can see." - Mark Twain