It still makes no sense that the Saratoga had so many civvies. It's not a Galaxy class. It's a 23rd century ship design that holds crew and their families. The entire escape pod Sisko got into was like 80% civilians/kids/families
The Saratoga is a Mirada class from the 23rd century. The crew complement of this size of ship is only 35!
https://memory-alpha.fandom.com/wiki/Miranda_class