is currently empty, since we have no featured questions right now currently has two questions. However, whenever there are featured questions, nothing gets posted in the chat room. The feed, however, does add the questions as they get bounty'd.
This is kinda complicated - there are two parts to it: one is what chat does with feeds and the second is how bounties work and how question feeds work.
On the chat side - chat remembers the time it last checked a feed, so the next time it runs it will get the feed and only show items in the feed that were published after that date. (if it it a new feed and doesn't have a last run date it will pick up the newest 5 items in the feed - regardless of age).
On the featured feed side - the publish date of an item is the time a question was created, not the time a bounty was added to it.
Now, because bounties cannot be posted immediately (there is a 2 day waiting period), the publish time of a featured item will be at least 2 days old.
And since chat checks each feed for updates multiple times a day, the featured items get filtered out as they are older than the last run time.
Thing is - each part works correctly. This is the correct behaviour by chat and the correct behaviour by the feed generator.
So - the problem is one of timing... and not strictly a bug.