Well, yes, if you convert it from one big rock to a big bunch of pebbles too small to survive passing through the atmosphere, it WILL help a lot. Still years without summers, but not a total extinction event. They never show the effects of all that particulate matter on the sunsets, never mind the next winter lasting two years or more (at least in New England), but then rom-cons never show the couple getting bored with each other after a few years, either.
BTW, "Man of Steel, Woman of Kleenex" was a non-fiction essay, not a story, and it deliberately left off the obvious solution, a simulated red sun environment (a real red sun worked for Kal-El and every other Kryptonian, why not a simulated one for Junior-El?).