It would be easier if you could see it side-by-side... If you need a way to verify if your fix is working... The Breen Plesh Tral is listed available for reclaim, but it is already in the Ship Selection.
It shows an inconsistent behavior. It might be special patch is in place to get around the root problem, of unable to reclaim ships on different toons. Masking over the root problem with patches can lead to spaghetti coding.
STO - Bug - Ship List - Ship Selection by
Tae Song, on Flickr
STO - Bug - Ship List - Reclaim by
Tae Song, on Flickr