I see that you have taken your time to do that analysis, but I do not accept the premise that the bitcoin price depends on the price of gold. You say so yourself:
Apparent relationships can be established between almost anything. Yes, sometimes gold price is similar to bitcoin price, and they have similar features but I don't think we are going to go farther than: "sometimes the price behaves similar and sometimes not".
Yes, I spent a few hours writing this article, and also this dependence on gold occurs in many things, and I think bitcoin may have a slight dependence on gold.
Gold and the dollar are highly dependent on the market today. The Corona virus has also shown us that bitcoin is not isolated in the world but interacts with other things.
I haven't taken a look at the charts since last week so my opinions about bitcoin's price action and movement is a bit outdated. But my mid-term and long term targets haven't changed. It's a bullish bias. If everything goes as planned with no fud to cause a sell-off (covid-19 /Elections, etc) we might see $13K bitcoin before the end of the year.
Your prediction is a bit optimistic, but not impossible. If a vaccine is made, I think we will see a drop in prices!
In this way, people empty their safes and live without the Corona virus.
And this reduction in market size can lead to a sharp drop in prices, and deceive people by creating fear and emotional decisions. The only way in this situation is to make rational decisions.
If you've compared both bitcoin, gold and stock charts like that of S&P500 recently, You would've seen that they've all been correlated. Earlier this month, There were covid-19 fud going round and gold dropped. It didn't take long for Bitcoin to join the party taking altcoins along with it. Even though Bitcoin is seen as a "store of value" and doesn't depend on the stocks and currency market, its worth noting that it does correlate from time to time as most people who are invested in cryptos are also stock traders/investors so where's a fud like the one we had in March about covid-19, they usually take out their money from all markets, when a lot of people do same, it causes a panic followed by a sell-of.
If there's one thing I've learned from market, it's the fact that we should always learn to evolve.
These dependencies are sometimes strong and sometimes very low, but the dependence on the dollar, bitcoin, gold, oil, and the stock market is undeniable. As you said, they act like a cycle.