Firstly, the only thing that has always been causing inflation is the manipulated and monopolized Fiat system.
Secondly, bitcoin is a deflationary currency. So, I leave you to do the maths!
Quick mafs right

? True that the current Bitcoin system is deflationary but that doesn't mean it can't disrupt an economy. If enough of the economies money (% wise) goes into Bitcoin, you can be sure the economy will suffer, unless they begin to accept Bitcoin as a national tender. We don't want the whole world to use Bitcoin, not at least simultaneously that would cause a world wide economic collapse, instead you want the change to Bitcoin to be gradual and for it to be over a long period of time say 25-100 years.
I would think even poorest country's economies are much larger than a total crypto marketcap. And most developing countries would swallow it without noticing