They are implying that we inflation is rising (even if the official numbers doesn't say so) because of the actions of the Fed

Is there an analogous situation in the UK?

The UK government must be more careful with inflation than the US government because the pound is not a serious reserve currency used across the world as the US dollar is. That said, the UK government has borrowed significantly to pay for coronavirus relief programs.

Remember that humans can actually reproduce rapidly to introduce workable productivity many times over in a lifetime if needed. We are in a bubble of luxuriance.