The original premise you were responding to was what if the vast majority of China's military and nuclear stocks were destroyed with our civilian centers mostly untouched. And that other "5," is actually 195 assuming you were talking about leaving just 5 with the rest "free" to launch. 195 undefended nukes on China's densest civilian/econ centers would be absolutely hell; it would make the difference between us becoming a post-war Japan/Korea (neutered and chained but in fine economic shape) vs us becoming a post war... Philippines. Totally destroyed, slave mentality ingrained, people eating pagpag to survive... ok maybe better than that because we're not stupid like Filipinos but you get the point. The destruction of such a strike would take decades to recover from, quite possibly over a century if under continuous Western sabotage on a China that cannot defend ourselves.
I would agree that we can make that sacrifice if it can actually cripple the enemy, but the problem is that in the initial scenario you were responding to, you could not choose to die to cripple the enemy; you could easily die, but at best, you would inflict small injury on the enemy with your 2 waves of 5 nukes launched against all their interceptors. The scenario presented was an unwinnable situation to avoid at all costs, most obviously by building a huge nuclear stock. It was not a wargame scenario for you to try to salvage.