Still it can affect the bitcoin, it can be said that a devaluation of the dollar, or a recession could be a good catalyst for cryptocurrencies in general. So in terms of bitcoins valued against dollar, the value of bitcoin will also decrease. I feel if such a scenario arises then there would a huge bitcoin sell-off due to negetive market sentiments.
For me i think it really affects the market because most of the time we are using dollar to buy bitcoins and also during exchanges of coins into cash so its really big advantages for bitcoin if the dollar will rise.