I think the other judges have the better reading of the specific language of the text. Thomas, Alito, and Roberts don't even take their dissent on the interpretation offered by the Government, but have to craft their own—extremely broad—interpretation of "entitled".
Since I think the opinion (at least, the little bit of it that I've skimmed) makes a fairly compelling case around the majority's interpretation of the words "so" and "entitled" I won't rehash that here. But, if we back up to the purpose and intent of the legislation, I think this outcome also better aligns with that.
The CFAA was designed to curtain the unauthorized use of computers. To make it illegal for people to deliberately circumventing the security measures built into computers to obtain information or cause other harm. If I hand you a computer, tell you the password, and ask you to login to my computer and respond to an email for me, but then ask you not to look in the `Taxes` folder on the desktop should it be a felony for you to open the `Taxes` folder? That conceptually feels wrong to me. I have violated your trust, sure, but I haven't committed fraud, and I haven't abused any access control mechanisms on the computer.
Or another scenario: your work gives you a work computer, and has a paragraph in the employee handbook that says you are never allowed to visit news.ycombinator.com on the work computer. At some point while working at the company, you visit news.ycombinator.com on the work computer. Have you just committed a felony? You've "exceeded the authorized access", if you interpret "entitled" and "authorized" as broadly as Thomas, Alito, and Roberts seem to. Should that really be a felony?
That interpretation leads to such a massive broadening of felony criminal liability. It doesn't gut-check for me. That, combined with what I perceive as the better textual reading of the phrases "so" and "entitled", I have to disagree with you. I think the other 6 justices had the better argument at multiple levels.