I’d imagine that tryting to compare the relative value of 50k cash vs 50k pension vs 50k equity comes down to personal perception of future value – 50k from a DC pension may be worth similar to 50k cash now, but you could argue that retaining 50k in value in a DB pension would be worth more to you for your future retirement. Likewise, if your house is in an area where you think future house values will markedly increase, retaining the equity in the house may represent a better deal for you. Sorry, that’s probably not at all helpful!
In terms of the OP, I too am a bit confused about the ‘actuarial adjustment’ – it’s not a thing I’ve come across in circa 10 years of working in the pensions industry, though admittedly my work has solely been in private sector pensions so this may be exclusive to public sector. For private sector, the CETV would be as titled – a Cash Equivalent Transfer Value, based around the current actuarial transfer basis of a set of assumptions on how to value the pension, as agreed between the trustees and actuary. As such, it’s already a ‘fair’ method of putting a number on the pension value for the purposes of divorce calculations. You’d then apply whatever pension sharing percentage (or other divorce agreement) to the pension and the actuary would agree how much pension would be lost from a DB benefit at date of implementation of the order, or just take the percentage in value from a DC pot.