First of all, the fact that it has limited supply may lead others to believe that its scarcity will lead to its demise just like those critical resources needed for human to survive e.g., water, air, food, etc., but I believe this will not happen and I would like to point out three things that makes Bitcoin viable for long term use - its deflationary model, its fungibility and divisibility - all of which could counter the effects of its limited supply. Imho.
We cant totally compare Bitcoin to other things when it comes to scarcity matters.This is a digital currency not a natural resource.
The only thing here is that if scarcity comes takes place and then the demand bloat out then i do see the high value of it.
Absolutely! After all, Satoshi Nakamoto was convinced the economic model of Bitcoin would be the best among other contemplated options. Aside from that, I think OP forgot to mention one basic and popular law in economics and that is "The Law of supply and demand" - that could very well answer the OP title's assumption. Imho.