If the world was destroyed by an asteroid, would any part of history matter?
If the world was destroyed by an asteroid and all human life became extinct, along with all other life on this planet, then no, it does not matter at all. Life on this planet is but a speck of dust on the timeline of the universe and has about as much effect. If every trace of human existence, or even Earth existence, was to be erased, the universe in itself would be unmoved and not affected in the least. Just because we feel we are important does not make us so. If you find mould growing on your wall, do you mourn it after you have removed it? I very much doubt it. This is how we are as a part of total existence.