2021 is fairly "young" for a DI2 battery.
Can't comment on head-unit accuracy I'm afraid. I don't rely on that info FWIW.
To-date, having used 10s and 11s DI2 since 2014, I've been very impressed with the longevity of the DI2 batteries. 10yo batteries still last for months. I just charge them every 2 months or so before they go flat.
Does your setup have a junction box?
The LED flashes on junction box will give you another idea of battery capacity too.
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