I believe it's more common on DMUs-I seem to remember 170s have brakes linked to interlock?
But out of all stock I have signed-377,455,456,313,319,321,317,365-all can roll with doors open. Infact even at speed the brakes won't apply if the doors are opened on a 317. The first you may know a door is open at 100mph is when you feel that you arnt getting enough power and turn round to look at the interlock light. Although that is rare with most stock.
There have been a number of station rolls in 365s over the past year for some reason, no one really knows why so specific to that stock or why the sudden rise.