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What I think it would reduce is the prevalence of stress and anxiety (contributants to premature deaths, heart attacks, etc etc) in the urban population constantly, unexpectedly, exposed to emergency sirens.
Should that be the case wouldn't you expect to see lower life expectancies in London, whereas actually
The rate of growth in life expectancy in London continues to surpass that occurring in other regions and the constituent countries of the UK. This has resulted in London now having the highest life expectancy for both males and females among regions in England.
https://www.ons.gov.uk/peoplepopulationandcommunity/healthandsocialcare/healthandlifeexpectancies/bulletins/lifeexpectancyforlocalareasoftheuk/between2001to2003and2017to2019#life-expectancy-for-local-areas-of-the-uk-data
Surprise your partner with a radio song turned all the way up, then try another time but start at 10% and turn it up in just under a second. See which shocks them more.
I’ve driven emergency vehicles mate. A split second fade-in that’s immediately loud enough to be heard by nearby drivers, but not so loud to startle pedestrians 20m away without fail, isn’t (I suspect) going to negatively affect outcomes in +99% of cases. If the driver gets into a crash because the siren took fractions of a second to wind up, they shouldn’t have performed the manoeuvre in the first place. What I think it would reduce is the prevalence of stress and anxiety (contributants to premature deaths, heart attacks, etc etc) in the urban population constantly, unexpectedly, exposed to emergency sirens.