AnetaKotucha so happy to hear you like this feature and have had success making templates from it! Even though the process is the same as before, you'd be surprised, folks still get tripped up sometimes 🙂
It sounds like you are running into a bug here where your original post is being tagged as "made for email" but your updated post is losing that tag. Without that marker, its seen as a standard news post, where you can add all webparts but can only send a summary. This is a mistake on our end, and I'll file it as a bug.
That being said, it IS expected to not have the preview immediately pop up on republish. After the initial publish, you can send again under the "share" dropdown.
Hope this helps, thanks for raising this. Would love to hear if you are still running into this problem (just got back from vacation, thus the delayed response)