Questions: Travel

So I heard a lot that Russian make fun of American for going to the store in pajamas.

I never actually went to the store in pajamas before but as I get older if I find comfortable pajamas that don’t look too “pajama’ish” , I wouldn’t change just to to go grab some milk and eggs etc.

so I’ll be going to Russia soon and it’s so cold there during this time, if I actually went in my pajamas to the store, would I be harshly judged?

would my Russian boyfriend be embarrassed? Disappointed? Or think bad or less of me if I were to do this?

if someone is Russian here your opinion would be great but anyone else just imagine in our culture people never do this and then someone comes and does this, would it really bother you? To what extent or how would you view this person?

If I look not so awful and rather cute in doing this, could I possibly be encouraging others to start doing the same, therefore creating something that is not so pleasant in a different country with different standards?

what don you guys think?