A quick check which might point to a cause.
With a screw driver on an injector, and its handle to your ear, you should hear a "tick, tick, tick" while idelling. That's the injector turning on and off. If not, since fuel is returning to the tank, that points to constantly open injectors, causing overfueling. That points to constant earth to the injectors, that's a problem. Other symptoms might be a strong smell of fuel, or fuel dripping from the headers/muffler joint, after repeated failed attempts with the pump connected. That would also explain the delayed start in your second video, it takes time to clear out the excess fuel.
Often, overfueling is caused by a faulty coolant temperature signal.