It does not seem possible to be able to vote as a non-partisan independent voter.
Looking for the percentage of states with open primaries, one sources had 24 states being open in presidential elections.
This link is the story on a different website.
And below is still another story on another website.
https://www.openprimaries.org/rules-in-your-state/Looks like it effectively remains impossible to be a non-partison independent voter.