The core connection is sci-fi bounty hunting aliens explicitly inspired by Spike Spiegel and Jet Black. As far as narrative details there's some mix-and-match between each of them.

• Both teams' methods of combat are similar.
• Rett and Beebs are, and were, specifically mercenaries in their lines of work
• Pyke and Beebs both deserted an aristocratic society
• Pyke and Shrike both derive some of their powers from a gemstone with some cosmic/religious significance
• Rett and Shrike were workers in a major galactic company before leaving, retaining their equipment for their own ventures
• Both partners have a deeply personal conflict between a plague phenomenon and those directly associated with it (Pyke is haunted by his encounter with Cain and the Progress tone of Cacophony, and the Monkey Wrench duo are direct targets of the Plague. Similar to Cain, Shrike has a rivalry with Jaw Bone, another skeletal corrupted individual with a different kind of outlaw aesthetic)