I always liked the BBC's approach -- English words and well settled loan words are allowed to have regional pronunciation, foreign words go via the pronunciation unit. So news readers pronounce (or try in the case of that Icelandic volcano) locations, names etc as they are intended to be. Names are personal, it's offensive to mispronounce them. Make the effort, even if it involves struggling a little with sounds that are not a natural part of your language.
"Not care so long as you're understood" reminds me of US TV approach, where every report pronounces that funny foreign name different, often painfully wrong; or periodic fashions in education -- during the sixties and early seventies UK fashion for "no one cares about grammar so long as the little dear is understood". It's coloured, limited and ruined my communication for the following 50 years, despite much effort to self teach as an adult. I'll probably never put all commas, semicolons and what not in the right place naturally, nor clear sentences structure -- they come with a second editing pass. A pass HN mostly doesn't get, sorry. :)
We got, in total: "verbs -- doing words, adjectives -- describing words, nouns -- naming words, tenses, and the use of the full stop". I honestly remember nothing else of grammar being taught whatsoever.
TL;DR I would start wars against "not care as long as you're understood". It's a horrible, disrespectful and limiting approach. Happy New Year. :)