Bitcoin has been a savior for countries with high inflation, and the more demand is created, this will lead to bitcoin to be more stable and it will become an attractive way to combat the negative interest rates.
It definitely doesn't make Bitcoin stable. I don't think anything other than plenty of liquidity is able to do so.
The thing with more demand in a certain part of the world in case it steers the price up, is that investors in well developed economies have an incentive to dump it back down because their profit target is met. Not everyone is in for the very long term; institutions and the more rational investors are perfectly happy with 50-100% returns, while people here aim at 500-1000% returns because they believe they're entitled to it.
Also, Gold historically has been dumped back down the moment the global economy starts showing signs of improvement. This, if Bitcoin is actually being used as safe haven, will happen to Bitcoin as well.