“Small government” is ambiguous. It used to mean exactly that — scope of powers. These days it’s become unclear and some people use it to mean headcount.
"Small government" in all its forms and variations is smoke.
If you hear someone who says they desire small government, they are either lying to your face because they want their despot to have power, or haven't given their position enough interrogation to ask themselves the question "If the government isn't powerful, what is preventing a power-hungry despot from seizing power?"