I'm not so sure about your initial premise, that this sharp drop in oil prices has had an independent effect on the stock market.  I don't really follow what the major indexes are doing (like the Dow, S&P 500, etc.) but the big pharmaceutical stocks I do follow have been doing pretty well, and I don't think stocks have gotten hit anywhere near as hard as oil has.

It's not the stock or oil markets which are going to affect bitcoin.  It's the underlying factors that affect all markets, i.e, the effects of the COVID-19 outbreak and society's reaction to it.  Bitcoin has done much better than I initially thought it would, though there's no telling whether that's going to hold.  If society starts reopening businesses and people start getting back to work, that ought to help oil, stocks, and probably bitcoin as well.