Do you think if BTC had a stable price which could only be altered by $0.01-0.10 it would still be as popular and as used?
I don't think so, when bitcoin have a stable price theres nothing to look forward to, just like what we used to do. Checking the price of bitcoin, etc. For investors or traders they will not be benefited by this kind situation because there will be no profit. Bitcoin is popular despite its disadvantages.
If bitcoin had stable price then it depend on what price status it has, so if happen that its price is always at high then I think the popularity of BTC will make a big noise around the world. More traders will never wait for the perfect timing of when to trade for BTC because we know that a strategic traders always looks out the fluctuation value of bitcoin, maintaining the high value of bitcoin can comes out a conclusion of how strong it is. But if the fix value is low then i think the bitcoin will never be as popular for all we know that there are lot of coins next in line of bitcoin.