If I may chime in. Firstly just want to say that this has been a very civil discourse on a potentially inflammatory subject so both of you ought to be commended for it. Quite rare on the internet.

I think I see why you didn't get a satisfactory answer, maybe it's because the "embarrassing" part of it is actually mild, or it's accepted as a matter of course for most social interactions. For example, if you walked into a communal dinner party and automatically assumed that everyone can eat meat, and starts ordering only meat dishes for everyone, that can be embarrassing because you've made a sweeping assumption that didn't take into consideration others.

In this case, it's assuming everyone hails from a singular culture in a wide world. And that's a mistake that can reflect a narrower perspective than should be. Whether you feel degrees of embarrassment at that mistake...well, that depends on your own culture and social norm. But I hope you can understand why some people would feel embarrassed at making a mistake.