I did an update of the domain mapping plugin yesterday and had to rollback previous version in emergency this morning !
The problem is the following :
One site of the network had several domains set but only the primary domain has an ssl certificat and HTTPS set.
If I do the update of the plugin then I become some brocken links because it looks like that the plugin doesn't care about the primary domain set and uses another domain for the front end... but uses the HTTPS scheme that cause an error (as the https host isn't set on the server for that domain).
I have to tell that I'm a bit disappointed because it's the second that I have a problem after updating this plugin... Please be careful to test the different situation (https and http domains on the same site network) before releasing an update !