@gruber You can, but it’s weird. You need to go to notifications settings, and change the notification style for say tweetbot, then change it back. Once the setting’s been changed, iOS will start sending notifications for that app to the watch.
It amazes me how many people will email complaints to the support address of an app without the basic understanding that a human will read it.
Anger turns into apology for rudeness as soon as they get a response.