When the Phoenixes were first introduced, there were 9 different pet food recipes available, AND, they could also show up across multiple slots, meaning you you could have rotations with 2-3 pet foods show up at once.
While they now have their own dedicated slot, they also now share that slot with relics + conversion/artifact recipes, AND, have been reduced to just 4 different recipes to boot.
Before the massive nerf batting of the Pet Food itself, I was pretty much near guaranteed to see at least 1 pet food recipe every day.
Now? I'm lucky to see a single food show up once every 2-3 days.