It's a little more complex than that because of the potential feedback loop via the main price channel.

In other words if you can have a wage/price spiral you can have a profit/price spiral and an interest/price spiral for the same reasons.

[0]:https://new-wayland.com/blog/interest-price-spiral/

Once you abandon the concepts of general equilibrium and a fixed amount of money for what happens in reality, then the functional control mechanisms get a whole lot more interesting.