And is this way - a price floor - and not the way you describe it, because of the economic incentives of miners. They have already paid for these captial intensive mining rigs, and to best turn a profit they must be running at all times. The marginal cost of mining is important, but given the capital costs (incl depreciation of hardware!) you cannot ignore it.
Basically, your explaination is a failure of first order thinking. To a first order approximation, only the marignal cost of mining matters and thus the scenario you describe is true. However, you must include the second and nth order effects of capex to truly match reality.