Your TFH is on a bit tight, but your real problem is lack of knowledge.
Computers are not "in control" of Airbus aircraft, any more than computers are in control of Ford cars. There is absolutely a manual - it just isn't a physical link, because we've moved beyond wires and pulleys, or even hydraulics.
Large aircraft are designed for skilled pilots - ones who can respond to the often unusual disasters that strike when in the air. There's an override for everything, because you never know when you might need to do something unusual in response to some other failure. Want to engage the thrust reversers while in-flight? Sure - normally that would be catastrophic, but that might be the only way to prevent an overspeed in a steep dive. Want to land without lowering the gear? It'll yell at you but it won't stop you.
In fact, very few things even require an override. The normal thing for an aircraft to do when it thinks the pilot is making a mistake is to yell at them, not stop them. And in this case, we have on the cockpit voice recording the sounds of the alarm saying "PULL UP. PULL UP. PULL UP."
But the aircraft didn't stop him, because there are easily dozens of situations where stopping him would have been even worse. For example, an all-engines out emergency landing. Or a GPS malfunction, and there's no mountain there. Or... you get the picture.
There are no aircraft that don't have a mode that acts like manual. There are a few military aircraft where, even in manual, the flight computers will make constant control movements to keep it stable, but even in a B-2, if you slam the stick forward, it'll dive right into the ground.