The Republicans who brought the lawsuit argue that, in part, continuing the lock down isn't appropriate because deaths from covid19 are going down. They don't connect the declining deaths to being locked down. You would think they would notice.
And if you think it was, please cite where the article says that.
To me it sounded like they argued that now that the urgent emergency condition ended, continuing lock downs need to be done in coordination with the legislature.
Which is very different from what you said.