1 ft.³ per minute is not hyperventilation. Ventilation for a person is essentially how much air moves in and out of the lungs which is mainly used to clear CO2 (oxygenation is air exchanging O2 with your blood stream). Minute ventilation is the respiratory rate (rate of breathing) multiplied by the tidal volume (the amount of air you breathe with an average breath). Minute ventilation is essentially how much air moves in and out of your lungs per minute.
This is different for everyone. The size of your lungs and the amount of air you breathe with each breath is based on many things including genetics, sex, height, weight, etc.
The SAC rate in cubic feet per minute is an expression of the amount of gas you are using each minute in cubic feet rather than liters which is what minute ventilation is usually expressed in. SAC rate is essentially used to give you your minute ventilation on the surface when breathing compressed air from a cylinder and is used to express this in a unit that is useful for us as divers so we can plan how much gas we would need.
Depending on your characteristics, that rate is not necessarily hyperventilation. Hyperventilation is when your minute ventilation is too high and you are actually over ventilating and lowering your CO2 levels too far. That is not the same for everyone. Minute ventilation requirements increase with exertion, stress, etc. If your metabolism and oxygen consumption increase, you need to eliminate the CO2 produced. If you are under water and you panic, exert yourself, etc, your ventilation requirements will increase and thus your SAC rate will increase. That is not the same thing as hyperventilation.
Source: I am a physician and regularly work with ventilators. Please excuse grammar and formatting as I am on my phone