I don't think your argument addresses the substance of the judge's opposition, which is that the law as proposed will apply to all apps and all websites, not just ones that might do harm. That does seem like genuine overreach, and it is not even likely that it's what Texans were really asking for in the first place. It's just a bad law.
If you're saying Texas is planning on gatekeeping the entire internet, it is indeed a bad law. But if they're simply giving themselves power to identify what is "bad" and require that site to age-verify, that isn't really a new power states are getting is it?