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Your faith in my fading memory and distant experience is touching,
but,
I had a few minutes.
The Pareth is the chemical industry's answer to consumers avoiding (ethoxyated) sulphates as the main detergent. Sodium lauryl (C12) sulphate would be 2 or 3 mole ethylene oxide.
This Pareth is C9-C11, so needs more ethylene 0xide, (the '8'), to get the same detergency.The trio of 'dimethyls' are 'oily' degreasers/solvents, with low volatility, and not much potential to damage skin.
The Peg 40 helps to emulsify the 'dimethyls' into the main ingredient - water.
The Limonene should give the product a citrus smell
and
there are a couple of modern preservatives.
Truly a new generation cleaner spurred on by progressively tightening legislation.
Who knows.
All I can say is that I use pretty much daily, it cleans up most of the stuff it claims to and doesn't ruin the skin on my hands. When I have to use harsher cleaning chemicals I almost always wind up feeling sick and the skin on my hands Is prone to splitting for weeks after.
Edit @mespilus knows a lot about chemistry and chemicals maybe he can make sense of this
Or I could spend some time familiarising myself with the COSHH sheet (unlikely to happen).