The US media don't care about details like this, because they're not interested in actually informing people. They've been doing things like cherry-picking clusters related to meat processing plants that weren't covered by the lockdown anyway, blaming them on the lockdown being lifted, and wording their headlines to make it sound like there was a state-wide spike - and there's a very noticeable partisan bias in which states they're doing this to as well.
Looking at the data for Texas holistically, it's unclear that there is a change in the trend in the last few weeks.
In general I think this whole idealogical battle over reopening is really dumb. There isn't going to be either a significant economic recovery or a spike in cases, because only a tiny minority of people are going to actually behave the way they did before the shutdowns. Most people are still not going to engage in activities that really spread the virus significantly (densely pack restaurants, large indoor gatherings) and many, many people will wear masks.