I think you're misreading what they wrote. I read it to mean it is the second, CV stage with a charging voltage of 3.65 that completes the charging. The 60% is what they cite for the 1st, CC stage.
Yes I read correctly no misunderstanding with the first CC charge to 3.65V you get well over 90% even at 0.5C charge rate and not 60%.
You realize that a charge voltage of 3.65 during the CV stage does not mean you actually charge the cell to that voltage, right? As soon as it is disconnected from the charger the voltage will drop - just as it at the end of the absorption stage in traditional LA 3 stage charging algorithms.
You can only say you do CV charging when the voltage is at that level you specify as CV charging voltage before that is CC charging.
If you apply a CC-CV charger (can even be a lab power supply)
You set the Voltage at 3.65V and constant current limiting say at 5A for a 10Ah cell
Say cell is fully discharged when you connect.
Cell will be in CC mode for about 110 minutes probably and then get to 3.65V and constant voltage will start and current will slowly drop at this point cell is well over 90% charged probably 95% and during constant voltage part of the charge where battery voltage will stay for around 20 minutes or so at 3.65V and current will drop you will gain the rest of that 5% or so SOC to 100% but this part of the charge is the one having the most stress on battery for almost no gain (that extra 5% is useless but the battery degradation is relatively high)
Not sure anyone has done long therm testing on this but I expect about 20% lower life for batteries charged with the second stage CV so you gain 5% additional capacity that you have no use for anyway and lose 20% of your battery life.
Anyway this is fine but charging LiFePO4 to 4.2V fast charging as they suggest on the page will drop the battery life by at least a factor of 5 and instead of 10 to 20 years you get at most 2 to 4 years out of your battery.
Yes LiFePO4 will not catch on fire at 4.2V but will suffer the same way as if you charge a LiCoO2 at 4.35V instead of 4.2V as you seen in that graph a few post earlier.
There are quite a few variation of LiFePO4 my GBS for example is LiFeMnPO4 the Winston is LiFeYPO4 some do not specify any additional elements and are more plain LiFePO4 but still have some unlisted additives that make they battery spacial. Each of this will react a bit different to overcharging but they will all get affected.
Is quite easy to see what the optimum working voltage is for any Lithium battery by just looking at a charge discharge curve.
In a car people want a charger that gets 100% SOC so CC-CV because they want as much capacity as they can get even if arguably this is useless for LiFePO4 where you only gain 5% by that CV stage.
Most EV car manufacturers use LiCo because it has 2x the energy density of LiFePO4 and can get 2x the range. There they gain 15% extra by using CV so is more significant and they implement that but they also have a recommended 80% charge if you do not need the extra so that you can have a longer battery life.
You can go and check the spec and recommendation of any care manufacturer.
So they care about battery life but at the same time are interested in higher range in the detriment of battery life.
Stationary energy storage normally dose not care about using the entire battery capacity especially since this comes to the detriment to battery life.
All DIY solar installations use a car BMS in combination with a Lead Acid charger in combination with LiFePO4 and that is because there is no real alternative and because there is not enough eduction about Lithium in stationary energy storage.
If you did not see this you should watch is a relatively good video about Lithium-ion batteries in general