Agreed. I'm fine with this, as long as the employer also accepts that I will never use a personal device for work, that I will never use a minute of personal time for work, and that my productivity is significantly affected by working on devices and systems provided and configured by the employer. This knife cuts both ways.
That's a strange analogy, since the vault is meant to safeguard customer assets from the public, not from bank employees. Besides, the vault doesn't make the teller's job more difficult.
> What is the mechanism that would prevent your computer from getting infected by a 0-day if only your employer trusted you?
There isn't one. What my employer does is trust that I take care of their assets and follow good security practices to the best of my abilities. Making me install monitoring software is an explicit admission that they don't trust me to do this, and with that they also break my trust in them.