It’s an absurd argument. Either everything is translatable because language allows for any arbitrarily complex construct that lets you circumlocute your way around, or nothing is translatable because everything is steeped in a unique cultural context which you either are a part of or aren’t.
What OP is ranting about is websites glorifying certain words as “untranslatable”, imbuing them with esoteric cultural meaning. As a polyglot and linguistics enthusiast it frustrates me too but we all have to come to terms with people being wrong on the internet some day.