I am quoting what seems to be the relevant portion of the first paper shared by @bjmiller. Maybe it will help in moving the discussion forward.
The above quoted portion might be interesting to you. This is not the only paper which makes the claim that Cells have lower entropy than their surroundings. I have come across other papers on the OOL which treat the cell as having lower entropy than the surroundings. It seems a fairly uncontroversial claim.
Can you share a more detailed version of your argument?