Mining rig costs are usually sunk costs: turning off never saves depreciation (which is just an accounting entry). Unless the miner can do something else with the mining rig (repurposed, sold, withhold purchasing new rigs), then t variable costs dominate their decision.
A miner should keep mining if marginal revenue (expected from minting new blocks and receiving block tx fees) exceeds marginal costs (mostly electricity if miner doesn’t get free electricity). https://www.investopedia.com/ask/answers/041315/how-marginal...
Not to say that the system is not unstable (which is an interesting idea). Maybe a control engineer could inform us of the parameters for instability.
Disclaimer: crypto novice.