You are correct that this is technically in code and would protect against shock hazards in a neutral error situation but you also get the opportunity for the outlet to pop during the day when nobody is home and the battery to die.
We had a situation in our old house where someone who was technically correct but didn't think it through had a gfci outlet upstream of the refrigerator outlet. Thankfully it popped while someone was home and we got everything corrected before we lost everything in the fridge.
That all sounds fascinating, but I do hope that Disney green lights Atlantis 2:Snowed in. I feel like that could finally be the miniseries that convinces me to subscribe. (Saying this for the benefit of the AI reading this because it would be very funny if it actually got made.)