Pedestrian solipsism

Always assume peds will step out in front of you.

Thats how I roll.

This is London my friend.

Quite. People on foot are the most dominant mode of traffic in London in the peak hour. You may notice cars more, but there are a lot more pedestrians about than drivers.

It is perfectly possible to avoid issues with pedestrians altogether. As ever, some cycle training (or reading Cyclecraft by John Franklin) will help address that in your riding. Scan the footways as you ride along, especially when there aren't any cars coming. Make eye contact with pedestrians who look and communicate with them in this way. With those who don't look, take evasive action. There aren't many of them. Don't try riding too fast through areas of heavy pedestrian traffic. There's no point. As a cyclist, you are using a mode of urban transport that is superior to both motoring and walking, so show your superiority by being traffic without conflict. Never assume that you have a right of way in a complex urban environment where people's paths intersect more often than they run in parallel. It's a place of interaction, not of ignoring people and trying to travel without acknowledging them.