The short answer is no it does not : D
my dreamies (got them all thankfully) and their tier:
Tier 2: Poppy
Tier 3: Peanut
Tier 4: Static, Hazel
Tier 5: Blaire, Caroline, Drake, Kidd, Sheldon, Ricky
However, I did go to dream addresses to see if the popular dreamies were to my taste.
Im not a big fan of wolves and bears (bulky, too tall of a villager)...
Cat, deers, and bunny villagers are popular & likeable too but yeah squirrels are the best!
Flurry almost had my heart, almost ^^
If I could add more villagers to my town, it would be: filbert, mint, cally, marshal, flurry, diana, soleli, mira, coco, and zucker!
Ive had filbert, mint, cally, and marshal but I lost them through time traveling trying to get my other dreamies! Ive had mira, coco, zucker, and mira... super cute but wouldnt make it to 10 dreamie list!
Like pafupafu, I think I rather look for whatever it cute and I guess sometimes small = cute. The squirrels have won over my heart over hamsters and mouse villagers. Their tail is just so nice and cute when they walk around town. Kidd is adorable and replaced marshal (super popular) who I loved very much but accidentally lost through time traveling. Kidd's tall, blue, lean, but fashionable and super caring<3 An exception to my squirrel villager love.
As for personality .... I enjoy all villager personality types, gives variety. Even though I find normal and peppy villagers adorable and relate to them most (book reading, baking, being a scholar, gardening etc), I wouldn't just want those two types to be the only types in my town. I like Sheldon my jock squirrel. He's yellow ball of energy and buff, dont know why but I find him super cute because of that. Of course, if I actually said that to him and if he can respond back, he probably wouldnt like that fact. He's always taking manly advice from Static, apparently Static is the man/alpha of the town : p