The former relationship wouldn't play out IRL, since there's no authoritative "lost bitcoin registry" to signal to buyers that the supply has effectively decreased
the effect of supply on demand does indeed require that buyers know something about the supply
I mean, just think about it for a moment: how many bitcoins were "lost" today? Was it 0 or 100,000? Perhaps it's -100,000, because somebody gained access to 100,000 that were previously lost.
If it doesn't make a difference, then the supply isn't affecting demand
If it DOES make a difference, then demand can't be affected, because nobody knows whether it was 0 or 100,000 or -100,000
The effect of supply and demand on price come from people bidding on the free market, not from anyone on the market knowing the global supply and demand.
If people have to know supply and demand to determine prices, how can free market work for thousands of years before the basic principle of economics is established?