Bitcoin doesn't solve the inflation problem. Nothing can solve the inflation problem in real terms because the real world is decaying.
Also if the Cantillon effect exists, then it applies to every single dollar spent inside the economy, not just to "printed money". E.g. if there is a mechanism that sucks out "printed money" to the top, then there is also a mechanism that sucks out not "printed money" to the top. If you understand that, then the "printed money" exists to replenish money at the bottom of the economy where it inevitably gets sucked back to the top.
Also if the Cantillon effect exists, then it applies to every single dollar spent inside the economy, not just to "printed money". E.g. if there is a mechanism that sucks out "printed money" to the top, then there is also a mechanism that sucks out not "printed money" to the top. If you understand that, then the "printed money" exists to replenish money at the bottom of the economy where it inevitably gets sucked back to the top.
Hint: Positive interest rates redistribute wealth upwards.