It seems almost always to be done with reverence (as in ‘with total fucking reverence’), thus upping the cringe factor a quite a bit. In my book - and I stress these things ARE personal - most cringey are when female thesps (the ones who are not primarily singers) sing it, as in Ms J Dench at ‘the Proms’, natch.
Unfortunately, I can’t off-hand think of an example which has zero cringe, though in the right hands it is a great song. It’s just with that song the right hands seem to be rare as hens teeth.
Here’s another example: watching Turn: Washington’s Spies a few years ago (and re-watching it now), I first came across the long-traditional sailors’ shanty Spanish Ladies sung by the Australian Sarah Blasko. For me Blasko hits just the right note, understated melancholy and fuck-all reverence.
In the video it’s the first one, followed by, several crass fuckers bleeding reverence from every pore, and then another female singer who again misses by a country mile, though not quite as as badly.
It’s a delicate thing: like almost everything, get it right and spot on and you’re laughing. Get it wrong . . . well, take up bowls or something.