No, Airbus does not do a better job. Plenty of airbus aircraft have crashed due to human factors issues. Both manufactures design and build their aircraft based on established industry rules and practices. Airbus's only advantage is they started a few decades later when many new standards were adopted. Old aircraft being updated do not have to meet modern requirements if they can prove to regulators that leaving it how it is, is safer than bringing it up to standards. Airbus does the same thing. Boeing has already admitted they made a mistake and pushed the 73 to far? Will airbus make the same mistake? We will know in 20 years. Regardless, some of the systems that do not meet modern standards have 300 million safe flying hours, which is why older aircraft are allowed be that way.

If Delta pilots were allowed to fly Delta's partially owned 787s you would see Boeing does understand human factors.