>>55873825I'd say that if you're going to run a full fire team featuring Entei, that Growlithe/Arcanine is going to get shafted.
A team will probably consist of Entei, Charizard, Typhlosion, Ninetales, Flareon.
Arcanine's ingredients overlap with Charizard and Typhlosion, and its main skill isn't that impressive compared to what Flareon's Cooking Power-Up S can do for you during the week.
If you're only getting one fire stone, Ninetales gets priority, but then Flareon needs one too. This late in the game you probably already have a Flareon though.
That's kinda just how the game rolls though, you might already have a perfectly good Arcanine and can't find a good Vulpix, since it's such a new addition.