I’ve wondered from time to time if we could replace some of the wordiness of laws and legal documents with bullet lists. For example, a trial about some interpretation of a word in a law could be contributed back to the law as a bullet point that says, “this also applies if …”.

What you're describing is law, most of it is bullet points, take for example the computer misuse act 1990, section 1:

https://www.legislation.gov.uk/ukpga/1990/18/section/1

Or if you're more patient, the whole lot:

https://www.legislation.gov.uk/ukpga/1990/18/crossheading/co...

It's all bullet points.

> a trial about some interpretation of a word in a law could be contributed back to the law as a bullet point that says, “this also applies if …”.

Is this not what happens in case law?

The law doesn’t literally get updated with a bullet point. Subsequently attorneys have to do ever greater searches to analyze all the precedents.