For example, in my home state of Illinois:
A person commits the offense of computer tampering when he knowingly and without the authorization of a computer's owner, as defined in Section 15‑2 of this Code, or in excess of the authority granted to him: ... alters ... data;
The ellipses are fair -- it really is that broad. Bonus points: it is insta-federal because of the effect on interstate commerce, again if someone has a mind to make an example of you.
Compare a newsagent (ISP) selling a magazine (website). If the newsagent censors any adverts for a competitor in that magazine by pasting over their own advert before selling it on then they've modified the magazine ; without a license this is copyright infringement.