Of course I will, but more like a savings account for storing my funds, I do not see another task when it will be stable in price
Definitely yes, i would still use bitcoin even the price is stable. However, bitcoin has no mechanism to stabilize either its price in some reference currency or its purchasing power. The difference between bitcoin and fiat money is not just volume but backing by assets and some willingness to use those assets to ensure value. But considering when bitcoin's price will stabilize with popularity, and once enough people have hopped on board for the price of a bitcoin. I'd think that will be enough to keep prices quite steady from there forward.