Handing over your password means that there is practically no barrier for a technician to obtain all your data, all your private keys, etc. It only takes one guy with malicious intend to make your life miserable. Often, people also store their work related keys on their computers. So how about opening your company up for someone else?
The issue is that not all people are careful with that. And the code of conduct of Apple to just trust any technician 100% is completely wrong. Setting up a secure infrastructure means, you should assume that parts of it are already compromised. In that case, assume the technician is trying to obtain as much private data as possible, how can they still keep their customers safe?