I assumed the excess protein would be undigested, but can't back that up with a citation.
I don't think someone here is lying. There may be some level of exaggeration, as in my experience a lot of cheese (particularly hard cheeses) can lead to extremely painful stools, but calories really aren't as meaningful as one might assume, especially when switching from a diet that directly supplies carbohydrate and one that doesn't.
The human body needs a certain amount of glucose in the blood, but it can't get that from fats (at least as far as I am aware). It can obtain it from protein through a process called gluconeogenesis, but that's a relatively expensive process that requires more ATP than what ultimately results from it. The human body also treats that process in a more demand-driven manner than one where exogenous carbohydrates are consumed. This isn't an absolute, but it's generally less supply-driven. If protein can't be used for glucose or building tissue, it's more likely to become waste eventually.
See "rabbit starvation":
https://hekint.org/2022/01/26/rabbit-starvation-protein-pois...