I think OP is mistaken in understanding the terms bullish and bearish. As I know, bullish is a trend that shows an increase. This is characterized by an upward push by the bull. While bearish is a market that shows a degression because it is attacked by a big bear. So I think what should be true is that if the price opens higher and closes lower it is bearish.

I think looking at trends only in daily periods is not right. We have to look at other trend changes in weekly and monthly periods so that we can find the major trend. Daily periods cannot show trends clearly.