The difference between .000001btc and 0btc is enormous.
You are kidding, right?
If you save 0.000001 btc for 10 years, and BTC is then worth $1M/each, then you have a dollar. That's an enormous difference between $0, don't you think?
From this perspective it is really difference

, hopefuly the transaction fee will be 1 satoshi

But seriously, we all know it will never happen
