It’s still there, and not because my phone is slow - even a brand new Pixel with no apps or Google account has this delay. It takes nearly 2 seconds to go home - long enough to make me question if I hit the home button.
Pixel 6 Pro, in use since release… I don’t have any noticeable delay. Pressing the home button (I have 3-button navigation instead of gestures), the transition from foreground app to Nova home screen I’d estimate to be under 1/4 second. Feels pretty instantaneous.
I wasn’t aware of swipe down. Not sure if it was added later or I just missed it.