No it doesn't.
Bitcoin has no intrinsic tie to the financial markets.
The financial markets are all based on goods, services, and economic value. They build meta layers on top of it and sometimes those layers are bad, but nonetheless they are based on value.
Bitcoin is based on speculation. It offers no inherent value. No one needs or wants Bitcoin. People do want or need food, shelter, health, entertainment, education, human connection, etc, that the rest of the financial markets are based on.
I think a lot of crypto advocates don't understand that the stock market isn't made up. Yes there is volatility, yes it isn't perfect. But it isn't a pure casino.
Bitcoin has sometimes* correlated with the broader financial markets, but not because it was an indicator of the markets but because it was accidentally caught up in them as an inconsequential side thought. It got treated as an investment commodity by some big asset managers and thus followed the same trading patterns. When the asset managers thought outlook was poor, they sold a bit of everything, and everything would go down.