I don’t understand why anyone thinks going private will stop all this FUD. While it may not be aimed at affecting stock price, it will undoubtedly continue in an attempt affect the Tesla brand and demand for their products. Other OEMs as well as oil/gas companies will still have massive incentive to attack Tesla.
Going private will reduce attack credibility and vulnerability.
In order for your attack to be effective it should be credible, i.e. to have at least some appearance of being based on reality and should touch vulnerable areas, i.e. to hit where it hurts.
Currently FUD attacks scare retail and general investors, continuous reports "based" on quarterly reports scare financial institutes available for public companies, any reporting on possible suits and investigations gives fuel to stock volatility. Volatile stock is profit. Profit is money which can attract "investments" like hiring people to install cameras around factory, harassing workers etc.
If Tesla will be private, you will have mostly bizarre customer stories, which will be too close to common people and easier to disprove, and there will be no outside control on company financing.
All these experts will have to round up with "Tesla autos" will have soon, very soon very big concurrency and won't be able to compete with real auto companies. There will be no open Q reports, no disclosed plans with numbers.
Most importantly you won't have enthusiastic shorts spreading FUD and "crowdfunding" extra waves of FUD in social media.
Tesla funs will have to deal with FUD of SpaceX flavor which was always much less crazier.