Generally, more advanced combat suits are paired with a cape.
The primary purpose of equipping a combat suit with a cape is,
to look cool.
Yeah, that's important.
Given the current level of the Federation's civilization development, the thermal and rain protection offered by capes has become virtually negligible since the combat suit itself is equipped with modules that allow wearers to operate in harsh environments.
Now the function of a cape is more as a decorative item that enhances aesthetic appeal and signifies status.
For example, in the Federation military, only officers' combat suits are allowed to be paired with capes to denote their status and facilitate management.
Similarly, in advertisements for recruitment by the Federation or Dawn City, soldiers are typically depicted with uniformly cool capes or stunning combat armor, which can significantly attract the youth of the Federation to join the army and improve the recruitment efficacy of the Federation.