> just said "no go ahead, keep building"? What happens to the companies if they just keep building?

As the article also touches upon, this already happened in the particular case of Revolution Wind: There, work, was forced to stop in August, then in September a federal judge blocked enforcement of the block, and work continued:

https://www.cnbc.com/2025/09/22/judge-orsted-revolution-wind...

https://www.reuters.com/business/energy/offshore-wind-develo...

And “what happens” seems to be that rather than appeal, the rule-of-law deniers apparently choose to not care? Work has stopped again:

https://orsted.com/en/media/news/2025/12/revolution-wind-and...