Even having bipartisan commisions doesn't solve the problem. Parties will work together to secure incumbents.
It basically comes down to a who watches the watchers issue.
The California process may produce better results on average by some measure (and is emphatically more transparent) compared to legislative redistricting, but it emphatically vastly increased the drama associated with redistricting.
But, yes, I think people are mostly satisfied with the results, which is a separate issue from drama in the process.
California is listed as "Non-partisan; super-majority (majority of each group) needed", you can argue that Wiki is wrong about this, but thats the source I'm using.
Wiki further clarifies its use of "non partisan":
Non-partisan means that either, a) the partisan makeup of the commission is not specified beforehand, or b) a substantial portion (i.e. more than one) of the membership of the commission is reserved for political independents or members of so-called Third Parties.
But, yes, by that odd definition, the California system is non-partisan under (b).