aah, I wasn't aware they could counteract the effects of momentum, limited friction friction between tyre and road in the 0.09s hypothesised in the question
Lets triple the parameters - 6 ft away you've got just over a quarter of a second to come to a halt or avoid.
Eyes and road sense won't really help at 2 ft or 6 ft
BTW I've never hit a hit a ped on any of my road bikes, or my MTB, or my cruiser, or in the car. I have hit one with the motorbike. In that case I was about 5mph. She'd been doing the back and forth dance, moved to the side and then at the last second moved back. Eye contact maintained most of the time. Middle of a dual carriageway. I stopped about 2" beyond where she was.
Eyes and road sense only do so much - you can't 100% anticipate every bit of stupidity on everyone elses part.
Sometimes the blame is 100& someone elses.