Gold is more than that tbh and seeing their individual market activity over the past few years, it is understandable why many believe that bitcoin could ultimately replace gold in terms of value but bitcoin still continues to experience significant price fluctuation that often results in substantial losses.
Another reason that the bitcoin is unlikely to replace gold as an investment asset is that the system has yet to achieve full status as a truly "universal" and legitimate form of currency. Many countries, including Germany, Norway, Russia, France, Thailand and Korea, refuse to use the bitcoin for fear of potential loss. In fact, several have gone as far as making it illegal in their country.
BTC will always be that safe-haven coin to the people that believes in it, but bitcoin is still far from the finish line.
Volatility is really not enough reason to say that they are not like each other, I would say they are quite like each other even with volatility considered. Could you pay for something with gold? Rarely, I mean most places do not accept gold but if you deal with someone and told them you are going to give them a huge gold bar, taking all the fee's into consideration and all the expense and how slow it would get it, you could still do it, it is not illegal to do it after all.
Same applies to bitcoin, you do not have millions of places accepting it, but if you talk and agree with someone over bitcoin payment you could still do it with slow transaction speed and expensive fee's as well. Also they are both store of value as well, which helps with investing into both of them and that is where volatility of bitcoin matters but in the long term both of them are destined to go up.