If Bitcoin is supposed to save us from inflation and the bad US dollar, why is it so dependant on it? BTC price is literally tied with SP500 price. If USA goes in any kind of small or big financial crisis, BTC is going down first ! How is this protecting

If they are so dependant and interconnected and if the USA economy was designed to fail with its fiat currency and policies and printing, how exactly is Bitcoin going to survive this? Let's say In a hyper inflation scenario in 5 years how is BTC going to save our lifetime savings, it's going to crash first, isn't it? Would you kindly explain how exactly US Dollar fails big time and BTC succeeds despite that.