I would say dull and safe
I don’t think there are a ton of stereotypes. But I have read it’s a bit dated (although I say timeless). I have heard bookish and on British sites “posh” because of the way I pronounce it. Nothing “posh” about me; it’s just the Eastern European-North American smush way of saying my name.
I don’t know about stereotypes, but I’m often called [name_f]Hannah[/name_f] [name_f]Banana[/name_f] and [name_f]Hannah[/name_f] [name_u]Montana[/name_u] as nicknames, which are both pretty common. I hate both.
It’s definitely a “mom name” now if that counts 
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“Did you know your name is a palindrome” I bet that’s another one that drives you nuts!
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Got three completely opposite from each other stereotypes that I’ve heard
~ Earthy, granola, hippy-ish name
~Hyper religious
~Stripper name
Yessss you have no idea
quirky but familiar, classic-ish, sweet
Genuinely no idea. Catholic, I suppose? Many anglophones apparently assume that a bearer would be Hispanic
Mean girl, basic, stereotypical white girl, future [name_f]Karen[/name_f], sorority girl, [name_f]Gen[/name_f] Z, southern, social media influencer, TikTok-er, conservative, super [name_u]Christian[/name_u]
dog name, i think 
Mine is a “mom name” associated with Christianity, although it doesn’t have the connotation of a devoutly religious person.
No idea about stereotypes, just that it’s become super common on younger girls.
These are more of tropes I see from characters in shows/movies/cartoons with the same name
Either the prim and proper perfectionist first daughter who gets straight A’s or the unbothered goth girl who constantly wears black clothes, plaid skirts and [name_m]Doc[/name_m] [name_m]Martens[/name_m]. No in between.
[name_f]Cozy[/name_f], British, and smart.
Probably that it’s now overused. I was born a few years before it first became extremely popular (first entered the top 50 in my area around 2008 ish)
The flower/colour of the same name is most people’s first association.
Victorian/Vintage revival name
Definitely a white name
petra is a rather uncommon name in north america from my experience so i’ve not really come across any stereotypes