For me, no. Cute is just another definition of appearance. Like I could see 3 equally attractive chicks but I might classify them as leaning towards cute, striking, and hot. All equally attractive, just in slightly different ways.
No. I know plenty of girls who are over 200 lbs and are cute.
What Girls Said 1
The only time I've ever heard girls and guys defend the word (compliment) cute in terms of it not meaning puppy like is on GAG. Never irl (f2f) have I heard a guy or girl use cute as a term to describe each other as cute in terms of a puppy or other cute object. It blows my mind as to how it's even linked like that.
Girls can look cute whether they are tall or short, fat or thin.