https://www.dailymail.co.uk/news/article-10822377/Rust-producers-vow-FINISH-film-Alec-Baldwin-accidentally-shot-Halyna-Hutchins.html
I don't think it will happen. I hope it won't. That would be very tasteless and disrespectful.
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If the investigation that is taking so long reveals something criminating or proves something Baldwin and the producers were so negligent then the film won't happen indefinitely.
They finished and released The Crow, so why not. Numerous other movies have also had fatalities on set.