To those who didn't read TFA: he wasn't talking about anime like Boku no Hero Academia or Dragon Ball Z. He was talking about hentai.
The article confirms that Crunchyroll and a couple other anime streamers are available in Texas.
The guy was trying to access PornHub (or a site like it) to watch hentai, and that site simply blocks all Texans (and people from other countries and US states that have similar laws).
As for those asking if it's illegal: the US constitution does enshrine the freedom of speech, or rather, your government's inability to pass laws restricting said freedom. However, there are still exceptions. You still can't make threats to officials, or other things that can harm others.