Contrary to the person you're responding to, I think it does make a large impact on the day to day. It's going to drive very different philosophies of life. One obvious embodiment of this would be on fertility. One who ignores, let alone denies, their own mortality is going to, on average, a different perspective on fertility than somebody who accepts their own imminent mortality. And these sort of things can often sort of snowball into impacting many other issues in life, in very significant ways.
Day to day, not at all. Just more generally. How many times have we heard 'I wish I'd visited my X more before they died.' Timelines and sense of mortality force you to think about such things.
It's definitely not about taking solace in winning some inane argument. I won't be celebrating my death, nor yours, as some kind of win.
Because if better appreciation just means you're on the right side of an argument that very rarely comes up, then your life quality is the same.