Very funny...
How about 'electricity', 'heat' and the other forms of energy?
Are they also analog?
Very interesting...
During my days, analog is a form of transmission that is a continuous "wave" electrical signal that varies in frequency and/or amplitude in response to the variations of a physical phenomena such as human speech or music. Hence, conventional TV, AM and FM transmissions are analog. An analog signal can even contain a carrier and a modulated signal in the same wave.
Electricity, as you said is also in a form of wave, however it is not modulated and only has a single frequency so therefore it is not an analog signal. Unless you vary it's frequency or its amplitude of modulation, electricity will always be a source of power and not an analog signal. However once electricity is varying then it can be "analogous".
Heat on the other hand is a form of radiation, unless it's radiation levels varies in response to a control signal then it is not analog. However, an oven with a thermostat and timer (control signals) is a device that varies heat radiation and is therefore an analog device.
Another definition of analog is:
An analog or analogue signal is any continuously variable signal. It differs from a digital signal in that small fluctuations in the signal are meaningful. Analog is usually thought of in an electrical context, however mechanical, pneumatic, hydraulic, and other systems may also use analog signals.
Small changes my man, small changes.