I personally think that:
It could inflate due to it being used as a moe stable currency.
It could deflate due to it matching the rates of other currencies and it is still dependent on the FiAT value.
It depends on what happens to the banking system.
In most recessions the banks are completely unaffected - for example the recession of 1981, early 1990;s, the dot com recession.
What made the 2008 recession unusual is that the problem started in the banks. So it all depends on whether govts have done enough to ensure the banks are robust. If they have, another recession won't affect BTC. If the banks are in trouble and start seizing deposits, then there will be a rush into gold and BTC and BTC's value will rise.