there is a problem. And it is worse than you think. Right now the electrical power used by the network is barely enough to sustain a price of $15 per bitcoin ($15 is the cost of electricity spent to mine a bitcoin, or the marginal cost of mining a bitcoin).
In order to sustain a bitcoin at $800 we "need" to have 50 times more hashing power. That's a full nuclear reactor we are talking about. Today.
No, the burned electricity does not contribute to bitcoin's value in any meaningful way. Bitcoin is an asset with some rules about supply and a market, that is why there is a price. Enforcing those rules which make it valuable happens to require power.
By your understanding, what happens if bitcoin suddenly switched to pure proof-of-stake where the computational cost required to obtain distributed consensus was close to $0?
I agree, you did a better job of expressing it!