I’m with you, Gio. I’ve never named any of the myriad instruments I’ve had.
My two saxes were the alto and the tenor. All of my custom acoustic guitars are either called by the luthier’s name (the Claxton, etc.) or by the type each is (OM, Small Jumbo, OO). A couple are unique models, so each is its model name (the Nick Lucas and the Prairie State).
Keyboards are the manufacturer’s name and model (the Fender Rhodes, etc.).
Basses follow the same approach (Mayones Jabba Mala, etc.).
To each his own, but it’s never occurred to me to nickname an instrument.