Think about humans: all humans need calories, but some people just want to drink Soylent and other people will spend hours creating elaborate meals. Some people will barely eat because they know they need to, while others will eat until they are sick if they don't stop themselves. Some people will walk miles for the best ice cream, while others will walk miles to see their favorite band.
So we fed them both at the same time, twice a day, and had to watch if the husky would eat or not for that meal, and remove the food bowl if he wasn't hungry, so the lab wouldn't scarf it down.
This is an n=1 anecdote that your guess was the opposite of my experience. That dog just didn't care about food. He did however love eating ice cubes. I never tried just a bowl of ice cubes.
Everyone knows someone who will eat like 3 potato chips and move onto something else, while others will sit and mow down the whole bag. Taking a GLP-1 will basically just convert you from one kind to the other in a dose-dependent way.
The same kind of variability is present in dogs - but without the conscientiousness axis.
But if there's something tasty going down like diced chicken breast or some steak, they'll show you they remember every learned command perfectly.
Even mentioning their favourite food gets their attention as some words are worth learning and remembering.