The film, directed by Kiwi Andrew Niccol and starring Australian actress Rose Byrne as Ardern, has already suffered the loss of one of its producers, Philippa Campbell, who has announced she no longer wants to be involved.
Speaking to Magic Talk on Monday, Collins agreed with radio host Peter Williams' opinion the filmmakers should not be stopped from producing the film.
"I think you're making a very fair point," Collins told Williams, adding New Zealand is a "free and democratic society".
"I can understand people who have lost family saying 'hang on, you never talked to us about it, how are you going to treat us?' But ultimately, in a free society, people can spend their own money doing things like this. I certainly wouldn't be bothered watching it and I'm sure many other people wouldn't either."