From the reports about the sequences of that night it seems to me that the biggest danger to Harry and Meghan came from their own security team.
They had no plan on how to deal with the need to shake off the paps - without driving aimlessly through the streets of a busy city like New York.
They decided to swap their principles from a secure, blacked out SUV with their own driver and room for at least 2 security personel to an unknown taxi driver with clear windows which allowed the only in car photos of the Sussexes - none of whom were wearing seatbelts for their ‘chase’.
There were reports at the time that the Sussexes drivers (not the taxi driver, the ones in their SUV convoy) were the ones causing unnecessary danger on the streets.
I suspect that the ‘new security’ measures that New York is ‘giving’ to Harry is actually to insist on using their own trained NY police security drivers who know what to do in the city in these situations to prevent them causing this kind of chaos.