change cell protection value for 18650 from DW01?
Update:  The DW01 can have it's low voltage turnoff voltage increased by use of a divider that presents Vbat x K (K &lt;=1) to the IC.  

The divider will increase the overvoltage protection voltage by the same ratio but, as long as the charger is competent the overvoltage protector is less needed.

Operation of the OV protector could be obtained by disabling the divider by shunting the input resistor with a MOSFET which is turned on for Vbat > V_lowvoltage and well prior to Vbat = Vbatmax. 



If I wanted flexibility I'd try to use another IC unless there was a compelling reason to use the TP4056.
Is there?

The TP4056 is intended to NOT damage batteries.
Where did you find suggestions that it does? - links useful.

TP4056 datasheet here

V_chg_max is said to be 4.2V +/- 1.5% or 4.137 / 4.2 / 4.263 V min/typ/max.
That disagrees with your 4.3V figure.

I assume that your Vodp = Vtrikl in the above cited datasheet.
Vtrikl = 2.8/2.9.3.0V min/typ/nax which about matches your desired 3V figiures.
This is well above your cited 2.4V.

It sounds like your datasheet is suspect as the ones in the sheet I've referenced sound reasonably standard.
Can you provide a link to the 4056 ds you are quoting?