Orys, you are suggesting starting a turn from the 10 to 2 position - I never do that - I put both hands at the top of the wheel just prior to starting the turn so it gives full use of the wheel.
My hands NEVER leave the steering wheel when turning - one is always gripping whilst the other is on the wheel, sliding to meet the other.
The other method I use quite frequently is the ‘racing driver’ steering technique when negotiating chicanes (lots of them near me) - keeping both hands at quarter to three, do a quarter turn right then a quarter turn left.
Last but not least: from my observation made during 10 years of hitchhiking: there is a strict corelation: most good drivers use “rally” technique, most bad drivers still drives as they were taught at driving lessons…
During my expert observations over the past 10+ years I can say that I have observed exactly the opposite.
This is why advanced drivers use the pull/push method more than any other - it is SAFER but not always exclusive - other methods can be taught such as rotational steering for pursuit driving but this requires the driver to go on a very special driving course.
The use of cross handed steering is used by many drivers because they are too lazy to use a better SAFER method but as I have found out over the past 10 years, all find easy to revert to when shown how to do it properly.
The usual comment I get after it has been instilled into their everyday driving is “I feel much more in control and safer”
If you were nearer to me then I would gladly give you a demo of this but as I am not, may I suggest asking your nearest advanced driving group for such a demo