AIUI, the intent is to ensure that the people reading the SOC2 report don't read into it more than what the auditor intended. This, according to the auditors, is fraught with difficulty, because you need a degree of familiarity with COSO principles and general SOC-ese to understand precisely what the auditor is making strong claims about, and what is _not_ being claimed.
In practice, the way this is accomplished is that the SOC2 report includes standard verbiage saying that the report is only for the client company, and for specific third-parties who must have "sufficient understanding" to parse the report correctly.
The client company then implements some process, with the guideline of "do something that won't piss off your auditor". For small companies, by and large the implementation is "you have to be an existing or prospective customer, email to ask for the report, and sign an NDA." The very act of requesting a SOC2 report implies that you know how to read a SOC2 correctly.
Some larger companies set up portals where you can help yourself to their various reports, sometimes without NDA - but in that case you have to click through a pinky-promise to not redistribute, and the report is watermarked with your identity to deter distribution. A very few publish the report at a hidden URL and hand out the URL to anyone who emails in to ask for it, though I personally think that's walking a bit too close to the edge of what they agreed to with auditors.
Companies with deeper pockets end up paying an auditor extra for a SOC3 report, which is "SOC2, but abridged and with unrestricted distribution rights". I believe the theory (besides giving more money to the auditor) is that the SOC3 removes all the information that might be misinterpreted, boiling it down to barely more than "I, a trustworthy auditor, confirm that the company is doing all the right things." You don't get much detail, but as long as you're willing to transitively trust the auditor (who are themselves scrutinized by their regulatory bodies), that gives you a "compliance is yes" document that you can publish far and wide.
If you want an example of what a SOC3 says, Github has one: https://github.githubassets.com/images/modules/site/security...