I replied in general above, but to answer this in particular:

It has been told that printing your master password and putting it in your wallet is actually very safe: no online attack will reveal it, and losing the paper would not be an issue without extra information, the same way losing a physical key is not the end of the world without its address. You are doing something similar.

What you suggest is perfectly fine for one password - you are just moving the entropy from one place to the other. However, you shouldn't use it as a general method (see my other comment), and you should be aware that a determined attacker can find it by looking at your browser history.