Day 16… No, as I view them largely as equals. I can see why people would see that anime is better than western animation, as generally people are more aware of the latter and all the dud series it has, while with anime we generally only tend to find A) actually good series, as those tend to be ported overseas and commonly discussed online and B) things catered towards our tastes due to searching for it, which could create tolerance for “less-than-good” things because of that (just look at why people unironically like Sword Art Online, for example).
Of course, anime has its duds too, with a couple examples being Mars of Destruction and Asterisk Wars. Without going too into detail, both of them are essentially off-brand ripoffs of other shows (with Asterisk Wars being a ripoff of Sword Art Online, but IN SCHOOL!). While we may gripe about stuff like Teen Titans GO! and Johnny Test, I feel like overseas they’d be mostly ignored like these bad anime examples due to western animation’s lesser prevalence (AFAIK, anyway).