Would that force them not to give Chrome preferential treatment? Even if Chrome becomes independent, it will still likely be the most used browser. Google could just do what other companies already do, and never test on Firefox anyway.
It would remove any incentive to intentionally worsen the non-Chrome(ium) experience. Relevant if you suspect they are deliberately sabotaging Firefox. (That would be a foolish move to make while they are in the middle of multiple antitrust cases and already lost one, but companies aren't immune to acting like idiots)
Depends on how the ownership works. If the same individuals own both google and an independent Chrome, it won't remove anything. If it's legal for google to pay firefox a half-billion a year to be the default search engine for a 5% marketshare, why wouldn't it be legal for google to pay an independent Chrome 9.5B for the same right?
The ruling I referred to above was in fact that it is not legal to purchase the default search engine as this is de-facto anti-competitive behavior for a clear monopoly (which is, itself, not illegal—sometimes products dominate markets because they're genuinely better). Interestingly this means that what they've paid out (something on the order of a hundred billion, I think, all things told) is likely the floor for whatever is necessary to remediate the anti-competitive behavior.
There's also a possibility the DOJ will fumble this and make them offer alternative engines in a more aggressive manner and fine them, which will change nothing. I think the judge indicated such, so hopefully they take this opportunity seriously.