The California Democratic Party, and the California Libertarian Party, have told the Secretary of State that they will allow independents to vote in their 2020 presidential primary. The American Independent Party had already made a similar decision.
The deadline for California parties to make this decision is Friday, October 18. It appears that the Republican, Green, and Peace & Freedom Parties will not invite independents to vote in their presidential primary. Thus the 2020 decisions mirror their 2016 decisions. Thanks to Mark Seidenberg for this news.