BTC has far better hard money fundamentals than Gold and would have a price of around half a million if it reaches the market cap of gold.

That's like a minimum price. That's the extreme low end. Ignore that it's better sound/hard money than Gold, ignore that it is so much more than that as well. Just focus on the fact that it is digital gold, and you already get to half a million.

Now add in the money printing / debasement of the dollar / inflation that is happening and will continue to happen. Add in that stocks all seem massively overbought so more and more people will see Bitcoin as a far better investment. Add in that bonds don't even keep up with inflation anymore so have negative real interest so smart people who have bonds will flee and go to better things - the best of which is Bitcoin. Add in that Bitcoin is the core of what is a booming industry that will continue to massively grow and Bitcoin will likely be connected to the smart contract world through applications built on top of it and/or through interoperable blockchains like Polkadot. Add in that, as we are now seeing, with the debasement of the dollar, companies are going to need to find a new vehicle to store their balance sheets and the best of those is Bitcoin. Add in the fact that the technology of Bitcoin is a monetary revolution that will likely onboard BILLIONS of people.

If the market cap of gold (half million dollar bitcoin) is just a base price that you get to when you ignore most of Bitcoin's utility, then $1 million bitcoin is a starting price if you fairly value it.
Even removing inflation and just sticking with today's dollars, it's much more likely that in say 20 years one bitcoin will be worth over $2 million and heading higher than it will be worth under $1 million.