Even without a money printer and everyone mass adopted bitcoin, massive inequality would still ensue. This is because Bitcoin is inherently deflationary. Both inflation and deflation are natural drivers of inequality... they just work in different directions.
Bitcoin is inherently deflationary...if the entire world moves to bitcoin, and somehow we prevented the extension of credit based on bitcoin collateral by financial intermediaries...
Which is already happening.
Financial institutions are already extending credit (aka 'printing money') based on bitcoin and other cryptocoin collateral.
>we prevented the extension of credit based on bitcoin collateral...
>Which is already happening.
Is in direct contradiction to:
>Financial institutions are already extending credit...
Regardless, the amount of bitcoin is set to be capped and finite - therefore unless this changes it is inherently deflationary. Aside from mining out the remaining unmined bitcoin, no institution is "extending credit" (aka 'printing') bitcoin, they're extending credit via (as you mentioned): other collateral.
Bitcoin is EVENTUALLY deflationary. Right now, about 900 coins are created every day leading to inflation of ~$45M a day that buying pressure needs to eat up. Every four years that inflation is cut in half, but it's still inflationary.