Despite the fact that Gale looks like he's from the Seam, was also a coal miner and a hunter, Katniss almost never associates him with her father, her most favorite person in the world. The few times she does its usually in reference to the significant loss they shared. The one exception to this is the lake, her last place of refuge.
The person she most often associates with her father (and her mother for that matter) is Peeta. Peeta is the person that always brings up her father's beautiful voice, his squirrel trading and the Plant book that kept Katniss alive. The shared memory of her father's singing voice is one of the things that helps Peeta start to recover his memories. Her father's Hanging Tree song is so closely associated with the tragedy of Peeta and Katniss's relationship. A lot of their physical affection reminds Katniss of her parents.
(Katniss basically takes all her softer emotions and locks them away and usually Peeta is the only person who can help her access them)
((sometimes daddy issues are chic)
I like to think Peeta always listened for Mr Everdeen to sing when he saw him walking through town, after he hearing him sing the hanging tree for the first time, and he was heartbroken to know he would never get to hear him again when he was killed in the mining accident.
