I wonder if that's for historical reasons. I'd assume that in previous centuries, only wealthy people would have the means to afford getting a cook that would be able to pass on their recipes in written form. As such, the recipes that survived would be the ones that would have access to expensive ingredients like meat and spices.
At least on the French side of things, Carême and Escoffier are very influential in classical French cuisine, and their audience was wealthy people, not commoners.
EDIT: Of course as soon as meat got available, recipes that were before only affordable by a small circle, got picked up by a larger share of the population.
However, I mostly just care about environmental footprint, and chicken is already pretty good on that front.
It's sad to me that "western" cooking is so focused on meat as the centerpiece to cooking. When I first went vegan, trying to replicate meat centric dishes I grew up on with plant-based substitutions always lead to a disappointing meal.
The key to good plant-based cooking is exploring the space of possible dishes that never included meat or animals products to begin with. Instead focusing on distinct flavors and textures provided by plants and exploring there instead.