Losing weight by losing fat has been compared to eating that very fat. Indeed mobilising adipose tissue storage releases quite a lot of saturated fat into the bloodstream. If nature invented this mechanism to allow seasonal fat storage and mobilisation, then this fat should not be bad. Or at least should not be bad seasonally, in moderation.
Neither palmitic acid does has to be bad, even if it produces transient glucose resistance. On the contrary, it may be precisely why it is good to facilitate glucose supply to the brain, as was argued by Peter @Hypelipid.
I am not assuming that palmitic acid is bad, but would like to know how much palmitic acid was eaten by H-Gs. This applies in particular to trigycerides with PA in sn-2 position.
It is quite possible that the amount of PA in human adipose tissue in HGs was more or less the same as the amount of PA in the animals they ate.
Human fat composition depends on diet. Here in Fig 2B you can see that the percentage of PA varies considerably between 15 and 22, though only sat fat in the diet was vairied. It can be expected that HGs consuming less carbohydates would have even less palmitic acid in their adipose tissue. Releasing that fat during the lean winter months would be more or less like eating fat from wild game.
Perhaps a little more palmitic acid is not harmful, or may even be more adaptive, but still it would be good to know the composition of adipose tissue in HGs.