Alkaline Battery State of Charge

[jag304]

Hi all - new user here!
I've been running some alkaline non-rechargeable experiments for a while to better understand some modeling parameters.
Examples of questions I've been working to answer -

• What effective ESR (ionic and IR drop) can I expect at various states of charge?
  
• Since total extracted energy increases as the average discharge rate decreases, what is the final asymptote of available energy? (For a AA Duracell MN1500, this appears to be ~3000mAh or so)

So my new question:
Let's say I have 2 identical alkaline AA batteries with exactly the same capacity.
I intend to discharge both until there is a specific amount of remaining energy available (let's say 100mWh).
Let's assume I have a perfect model of the exact energy available in both.
I discharge one of the batteries at 10mA constant current and the other one at 1.0A constant current, both until exactly 100mWh remains.
Is the open circuit voltage of each of the batteries now identical? Are there other effects of high current discharge which impact the Voc?
This is important as we use open circuit voltage to estimate capacity, but also very difficult or impossible to test as you cannot know the available energy remaining until you have depleted the full battery.

Looking for any help with this problem!