yes it is a great film in my opinion. i think you have to take into account this at the end of the day it is a film, not a documentary so it's not trying to be accurate.
the wiki page is pretty useful
https://en.wikipedia.org/wiki/Black_Hawk_Down_(film) if you note the cast section for example it names actors "based on" soldiers that have different names:
Eric Bana as SFC Norm "Hoot" Gibson (based on SFC John Macejunas, SFC Norm Hooten and SFC Matthew Rierson)
William Fichtner as SFC Jeff Sanderson (based on SFC Paul Howe)
Kim Coates as MSG Chris Wex (based on MSG Tim “Griz” Martin)
Steven Ford as LTC Joe Cribbs (based on LTC Lee Van Arsdale)
so you end up with characters based on soldiers, based on a script, based on the screenplay, based on the book, based on the true events that happened in Mogadishu.
looks like there might have been a documentary to go with the book, which i assume is more factual. Black Hawk Down - Somalia - Good Intentions, Deadly Results
https://www.journeyman.tv/film/402
there must be quite a few more for research.