Sure, miners as holders of BTC can affect prices.
But it seems that the cost of electricity can drive down prices, not only up.
You said that price of electricity 'backstops' prices, and that miner spending $10K on electricity will need to sell that much BTC. Seems more like an inverse relationship. They need to sell $10K whether the price is $100/BTC or $100K/BTC, so lower BTC value makes more selling. Similarly, higher elec costs increase ready supply of BTC on sale, more supply lower prices.
On the other side, lower elec costs, mean more hoarding by miners, reducing sell-side pressure/supply
This would seem to make elec costs inversely related to BTC dollar value, not supporting it - so an effect, but in the other direction?