There is a big difference between not being cause of hardship for your family and being remembered for the sake of being remembered.
The former rises out of natural empathetical feelings you've towards your close ones which will be a cause for grief and depression till the end of your life, you get it's b repercussions in your life itself, unless you're a psychopath who don't have any regard for others suffering. Surely you can't just ignore it as 'nothing matters after I'm gone' as in being remembered, because being remembered for the sake of being remembered is merely just for the ego satisfaction from that recognition when you don't even have a working brain to enjoy it and unless you are one of those types that crave for attention and not being remembered affects your current state too emotionally. Trying to be billionaire to be remembered is just like trying to chase the moon.
How many dead billionaires from the last century do you remember and can name without googling?
If it's just the feeling of being remembered for something then there are lots of other things you can do to make people remember you. Nobody remembers the rich merchants from 2000 or 3000 years ago but people still remember the conquerors who changed maps and the artists of those days whose works have been immortalized. Whether you like it or not, someone like Hitler or Tolkien will be more likely to be remembered than someone like Gates and no, Hitler won't still be considered as an irredeemable monster then, just like how people don't get offended by the conquests and massacres by Genghis or Napoleon unless for nationalistic/jingoistic reasons.
