Saw that movie a little while ago, I was bothered by that too, I do not know why does Hollywood does movies like these, like in Hidden Figures, that give credit to real people too, why not just have other people justify that way, and not be so caught up in the glamours style of Hollywood ? It seem different about that way, I do not recall a Mission to Mars at all. Kind of wonder what was going throughout their head ya know..
I remember Mission to Mars, came out in 2000, at exactly the same time as The Red Planet, and both movies very similar.
https://www.imdb.com/title/tt0183523/
https://www.imdb.com/title/tt0199753/