Kirk deserved better. Yes, he dies alone, but there is zero sense of mourning. Just another day at the office for Picard.
But why would Picard mourn him? He didn't know Kirk any better than a random redshirt (Kirk is my favorite character). What confused me was that they didn't seem to give a shit that the Enterprise
He had just lost his entire family in a house fire. Next to that, a legendary starship captain and a spaceship are nothing.