I just finished relistening to MAG 133, and I can't believe I never realized this before, but. this whole episode is about Basira.
The point of Dead Horse is that The Hunt is about the process, not the ending. It stops being a hunt once the hunting ends, which means victory is never as satisfying as you want it to be. Daisy's least favorite part of tracking criminals was arresting them, and the ritual of The Hunt has no ending. The Everchase is an eternal search with no destination.
This is also the episode where we see that Basira is living as a hunter with no satisfying endings. She spent weeks chasing leads from Elias that brought her nothing, and more importantly, this is the episode where we see that she's finally been reunited with the partner she's been longing for, but she isn't satisfied by it. She finally reaches the end of her chase and finds Daisy, but Daisy isn't what she wants her to be when she finds her.
In season 5, Basira's torment after the Change is to chase Daisy eternally, and when she catches her, she has to kill her because she's too far gone to The Hunt. There's nothing at the end of Basira's search but misery. But in season 4, it's the opposite. Basira searches for a Daisy, searches for a strong ally she can trust, but when she finds her partner again, she's no good because she's too human.
Daisy, or at least Basira's idea of Daisy, is Basira's Everchase.