Why would you think that? Larger animals are usually much more energy efficient for various reasons - less surface area to radiate heat, and economies of scale with larger organs.
https://en.wikipedia.org/wiki/Feed_conversion_ratio
For cattle, a FCR range from less than 5 to more than 20 kg feed dry matter per kg gain may be encountered.[
Whereas for chickens: Poultry has a feed conversion ratio of 2 to 1.>a cat, having a mass 100 times that of a mouse, will have a metabolism roughly 32 times greater than that of a mouse.
And yet this is saying that a mice sized animal should be expected to have the same, or perhaps even better Feed conversion ratio than a cat sized animal.
Again, I believe you, but it makes no sense.