My first reaction was to agree, but, all languages also use Latin characters for all sorts of things, especially brand names. A lot of native languages just aren't adding native words fast enough to keep up with technology and so the English words end up getting subsumed. Sometimes they'll be converted into local glyphs (e.g. Katakana in Japanese), but sometimes not. I doubt there are many humans alive who can't recognize Latin characters, even if they have absolutely no understanding of what the meaning is or how to pronounce them.

I'm sure if Mandarin were the default language, English speakers would quickly learn to recognize the character for "English" and be able to find/click it on a webpage without too much hassle.

Language comprehension is unnecessary when all you need to do is recognize a character.