So unless the self-driving vehicle has a routine to activate those on weird slowdown it may be very hard for the traffic coming behind to notice, further increasing the danger.
It'd be nice to have a solution to that. There are no inexpensive ones (rails handle this with corridor control... Every N miles, a signal indicates whether it's safe to proceed to the next segment. Some sections of highway have signage allowing for this; most don't).
Another slightly relevant idea is to mark intersections with a large red no-go area placed at the calculated point, where, if you were going the speed limit, if the traffic signal changed to yellow and you were in this box you could not safely pass the stop line. I hate having to guess how long a yellow light is (3 to 6 seconds is a large gap).
On busy highways, if your car breaks down and you need to slow, one of your biggest concerns should be to get out of the way asap before someone rear-ends you.
Whether you consider it a result of tailgating or not, pile-ups are a common result of unexpected action on a highway.