Recessions tend to bring down economies when they impact on wider economic activity - eg in the Great Depression it was all the loans taken and functional capital misused to play on the stock market. In the Great Recession it was mortgages in arrears, and the huge credit crunch as banks tried to balance their books.
At least at the moment, Bitcoin is probably mostly made up of small investors using small savings (sub 20k USD) that aren’t leveraged up in any way. If Bitcoin collapses, people just lose their shirts, but not their homes and jobs.
All of this of course might change if/when factories/banks begin to invest heavily in bitcoin.
This could reverse if the average man on the street starts investing significant amounts of money, enough that they'd miss it if it evaporated. Then we'd get a big recession when the bubble popped.