...I just wish they had done the mirror image of this in some later episode, fighting this hard for keeping some completely nameless yellowshirt alive, and succeeding in the end.
That would erase the stain of favoritism from this one: it now looks as if the heroes put so much effort into Tasha only because she was a main character. But perhaps they do so offscreen for every yellowshirt? Actually seeing it happen at least once would be cute.
And Picard's reaction is kind of funny. "Gone?" (Are you shitting me?)
Yes, gone Picard. Wern't you paying attention?