>>59223203People never see past the surface of the iconic image. Ironically, it is not Joi who is really his 'oshi' in this metaphor, it is Deckard. The chair clattering scene pertains to his true desire - not to be together with Joi, but to be a 'real human bean' with real human connections.
K originally is a nobody, a replicant whose life is empty of meaning beyond doing his job. In the pursuit of one case, he learns that he's actually special, born and not made - and not just that, his father might actually still be alive. Hungry for a future with meaning and human connection, he tracks Deckard down to the hotel, where he is then kidnapped.
When K is rescued, he is told that he's actually not special after all. His dreams are shattered. Despite that whole bonding experience in the hotel, he could never have had Deckard as a father.
At this point, K could just walk away. His connections have been cut, he doesn't need to give a damn about any of them. Instead, not only does he not simply kill Deckard as the freedom movement requests, which would have been the far easier thing to do, he risks his life rescuing Deckard and takes him to be reunited with his real daughter. He dies on the steps after expressly going out of his way to give them the only thing he ever wanted, but which he found out he could never, ever attain.
That is the essence of the gosling in its original usage pertaining to vtubers - bittersweet support knowing that one's desire for that connection [to the oshi] would be forever out of reach. Unfortunately, it got twisted to this simplistic idea of 'want to marry oshi or else' which is almost contradictory to the original meaning.