I'm not arguing that the cats were the primary basis, but the fact that Muneo Saito went out of his way to state that he didn't want Entei to exclusively look like a cat in response to the lion statement likely means that the canine influence is a notable secondary contribution to its (and likely Raikou and Suicune's) design. If it was something that was more minor, I think he would've glossed over it or just mentioned it offhand, but he felt the need to make note of it as it was something that influenced his designs of the beasts.You're talking about what Muneo Saito said on Twitter right? When he talked about Entei he did say something like "I didn't want it to be simply an animal. So I settled on a silhouette that could look like a dog or a cat" but he also said about Entei that "you could say it was basically like a lion" so a lion was the main basis for the design based on what Saito said.
Saito also specifically said that Raikou is "tiger-like" and Suicune is "leopard-like" so it's clear that he had cats in mind more than dogs even if the Beast Trio has some minor dog qualities.
Now granted, I don't think they should be on the poll either as they're cats first, dogs second, and "Beasts" covers them so much better regardless. However, again we do have Mightyena on here despite being hyena first, dog second itself (and no, hyenas aren't canines before that's brought up), so I can understand why someone would bring up the Beast trio when talking about the poll since it's already stretched the options a bit.