I never thought naming a ship could make a difference, and I kinda like the default ship names.
But I decided to give the Red-Tail a run and give it an impressive name - the Galaxy.
Little did I know that the RNG would like that name so much. At around sector 5 I got the following ship :
On a more serious note, i did name one ship Galaxy, and it cruised to the end and held the top of the hi-score table until recently when an unexpected Adjudicator sliced n diced the game universe. Name you ship (Galaxy).