Others have said there’s probably no correlation between these signs and bad driving. And statistically women have less accidents than men.
I worked for one of the UK's largest insurers and had full access to the relevant data, Women do not have fewer accidents than men - actually, they have about three times more accidents per mile driven than men - but tend to drive in lower speed conditions (urban/semi-urban) - therefore the accidents are less costly in terms of life and limb as well as twisted metal, they also drive (on average) far fewer miles to the point it outweighs the greater number of (minor) accidents per mile - also, where couples are concerned, the men tend to be the primary drivers on longer/higher speed trips, although accidents on motorways/A-Roads are less likely, when they do occur, they are very costly to insurers.
RE "BOB" stickers, I interpret them as "I know I'm a terrible driver - to the point where I am actually concerned for the safety of my own child due to my incompetence - so please give me a wide birth ('scuse the pun) when I forget to indicate, or are in the wrong lane (yet again) or am braking inappropriately or have missed the fifth perfectly viable gap in the traffic in a row."
Segueing the two points, being overly cautious due to your own incompetence means you are a better risk to insurers - it certainly doesn't mean you're a "better driver" - of course there are many male drivers who are too confident to the point of being dangerous.
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