The ticket isn't changed though (from the previous coverage, that was suggested and rejected as not being possible). The court just told the lottery that its procedure of handling tickets with a name on them isn't always legal.

Unless there is a specific piece of law that requires the winner being made public, and that hasn't been in any of the reporting I've seen (and would be odd given the trust-workaround), there is no law being broken by this.

Note how in the article it says The state had argued that the names of lottery winners must be disclosed to ensure that prizes are distributed fairly and that winners are not related to lottery employees., not The state argued it is legally required to disclose the names. Even in your first comment, you say the state is in charge of whether or not that name gets revealed, for which it just got a constraint imposed on how to make it's decision.

Can you be more specific? I’m not an expert on New Hampshire lottery law, but I see no indication in the article that identifying the winner is a legal requirement, merely a strong desire of the lottery agency.