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?
In the short term, no, I don't think it would be nearly as popular. Most of the outside attention that bitcoin gets has to do with its crazy price swings. "Bitcoin up 5 bazillion percent" headlines get people's attention. Without that, I don't think there would be much interest outside of those people who are already interested in cryptocurrencies.
because many people are interested in the bitcoin first because of the possible fast benefits offered by bitcoin, the proof is most bitcoin users are traders or short term investment users, so i think when bitcoin prices become stable it will reduce the interest of most users and of course bitcoin will be less popular in the eyes of most users