The text in broadcast messages from groups doesn't word-wrap in onsite emails. Broadcast emails sent offsite work just fine, but the onsite emails ends up being just one long line that requires a horizontal scroll for all of the text - and worse requires a horizontal scroll in a box without the ability to scroll, so that the message is just cut off after the first line.
I know this has been a problem for a while, and since it exists, I'm assuming it is a bug. I'm attaching the image that someone else posted on this problem last year to illustrate the issue.