If you compare the dow jones, or the S&P 500 to the bitcoin chart you can notice that the stock's have been in a rally since 2009 right when bitcoin was just created, this means that the crypto currency space has never experienced a stock bear market, because stocks have been bulli
from 30$ to 2$ when it went from 1200$ to 200$ and now from 20k to 3k all of the previous corrections where with a bullish stock market, but now the stock market for the first time since 2009 is beginning to plunge and is taking cryptos down with it, something that hasn't happened in the previous btc "deaths"
This makes me believe that this time crypto may never come back at all, like when tulips crashed in the 1600's or when the thousand of .com stocks never recovered (like pets.com) etc this means that this time bitcoin and other crypto currencies may NEVER come back to a ATH like it has happened before, what we learnt from previous bubbles caused by a new emerging technology eg the .com bubble with the rise of the internet is that the majority of companies (this time coins) die off and I believe right now bitcoin is so old, rusty with high tx times and high fees that it is possible it may become the MySpace of crypto, having said this it is also really posible that cryptos stop existing at all, because there are coins that really don't need a blockchain and are just pump ICO'S that have no real purpose, the only thing that its left is the blockchain technology by itself that dosnt really need to have a token with value attached to work, the world could adopt the blockchain technology without the need to have a pump token attached to it.
this is my opinion right now, I think blockchain technology is here to stay but I put into a debate if crypto tokens will be here to stay.
Firstly, I think that there is very little tangible correlation between the traditional stock markets, and bitcoin. They are simply operating in two completely different fields here, stocks represent equity in a company, while bitcoin has the utility of facilitating transactions without intermediaries, as well as a coded in supply curve which can't be manipulated.
That's ultimately what makes bitcoin valuable, and why it's different from the tulip mania. There is tangible evidence that this type of store of value that bitcoin offers is needed within the economy, especially when other stores of values like gold and silver are so bulky and inconvenient.
As herbert mentioned, the two events that you pointed out (bitcoin going up and stock markets going up) could be just completely coincidental and they probably were. There could well be a stock market recession coming very soon, but I doubt it will hit hard on bitcoin. It simply doesn't have any stake in the traditional economy given its independence.