It's extremely important! It's why I am hesitant to buy large amounts of Etherium, who does not limit their supply. Bitcoin has kept the cardinal rule of money: a LIMITED SUPPLY.
In the long run, I favor Bitcoin and Dash. I don't know enough about ZCash or Monero to comment on them.
watch the post I made from Andreaous Antonoplous, he says it better than anybody. BTC and ETH are like a "lion vs a shark" ...both can and do exist in their own space. BTC does things that ETH cannot and vice versa. ETH does have oodles of applications....BTC will only ever have 21 M coins mined which equals scarcity --- and has higher security which is good for money.