This is incorrect. And I just did the math to confirm. If you die at 75, you would have received less total monthly payout if you delay to 70 than if you immediately start withdrawals at 65, however your bequest is also much much higher because of the 'principle guarantee' feature of the CPF Life plans as there are 5 extra years to accumulate compounding interest in your RA, this leads to the XIRR being higher for delaying to 70.
Edit: My earlier numbers are not complete and I added the formula for anyone who wants to check. CPF calculator cumulative payout needs to be added with bequest to get the full amount while I only used cumulative payout earlier. It is actually better to
wait until 70 for Basic and Escalating. Need to get my head around why Escalating has such a conclusion though (maybe because of the different longevity insurance cost mechanism)....
CPF calculator tells you the cumulative payout for different withdrawal age, albeit it probably does not consider time value of money.
Assuming expiry at 75, withdrawal at 70 instead of 65 benefits you (Edit2) you additional money
Formula: [Avg cumulative payout 70] + [Avg bequest 70] - [Avg cumulative payout 65] - [Avg bequest 65]
Edit2: Re-extracted the numbers, hopefully no errors this time. You do not suffer monetary loss by waiting (ignoring TVM)
Standard: 114k+206k-171k-89k ~60k
Basic: 105k+270k-157k-192k ~27k
Escalating: 96k+225k-147k-113k ~61k
The above is based on 176k at age 55 for a person born in Jan 1974 and averaging the min and max cumulative payout.
Edit: Numbers were extracted by toggling between
1) Cumulative Payout & Bequests
2) 65 & 70 payout age
https://www.cpf.gov.sg/eSvc/Web/Schemes/LifePayoutEstimator/LifePayoutEstimator