It's not uncommon to design an engine inlet duct with a cross section in the vertical direction to add lift. The lift is a fuction of the flow through the inlet which in turn is a fuction of how much air is passing through the engine. Thus if you happen to break the pylon mounts on a running engine, most will lift up over the wing.
Tis true that there is significant drag associated with all this but its mostly associated with the inlet lip area. The fan engine area actually has less drag when its not running as the air can freely pass through the large fan blades without created a large amount of spillage around the inlet lip.
In the end the drag dynamics vary but the worst condition should be a highpower, low altitude engine surge.
What's missing from all this subjectivity is actual numbers, but it at least gets the thoughts out.