The bitcoin price is the reflection of the amount of supply and demand the public is giving.
Bank doesn't just print money simply they want to increase the money. They are studying how public demands money also and how they use it.
Banks are also regulated on how much money they can print they are just not printing how much they like.
Known history for you about when the US and Iran were friends, and Americans bought oil from Iranians?
In the early 1990s, Americans were tired of transporting dollars to them (Iran only admitted cash) and suggested: let's send two US Federal Reserve officers together with a printing press, give a cliche, and you'll print yourself dollars. How much oil was delivered, so much and printed. This scheme worked until the moment when Iran's nuclear program did not interfere with the US.