It is not a coincidence, most times trade charts of markets do look alike in movement but not in price.
Gold is not much more stable, Gold is stable snd experience low vulnerabilities in most cases.

Bitcoin meanwhile is volatile and not stable, that is why it is better referenced as investment option and not store of value

They need to understand the word "volatility" which means there's no permanent or stable price occur and that is how Bitcoin works here compared to gold. Gold is an almost stable price and it might move depending on the movement of the stock market. Gold also was fully controlled by the government whereas Bitcoin was based on the demand and supply that makes the price becomes volatility on the market and cause of fluctuation every now and then.

With today's gold price stabilization, I don't think you need to consider it as an investment since we haven't seen its price increasing that much for a very long time while bitcoin on the other hand has its own support for the price to rise each every year. So gold is more likely an asset, a safe haven for your money because it never losses its value. You better think what you need right now, an asset or an investment.

Less ROI for gold or none at all. If you are looking for ROI with certainty then go with business, but if you are looking for investment with good ROI then go with bitcoin but also need to consider the bitcoin because it has a high volatility rate.

Eh, check the 10-year charts of gold, silver, bitcoin, stock indexes, and whatever else you're looking to see if there's a correlation present among them.  I haven't done this myself, but just asserting that gold reacted like bitcoin after some Trump statements (which were probably moronic anyway) isn't a rigorous analysis.

Gold and bitcoin might be acting similarly lately, but other assets have bounced back from the beginning month of the COVID-19 outbreak, which just tells me that money has started to pout back into the markets and investors might be getting a little bit less fearful of what's to come (and we'll see about that).