Yes, and found not so sunny Italy after all. I put a few feelers out about information on Lady Astor "D-Day Dodgers" - had a few humorous replies but can't get proof about her comments regarding Italian campaign. Shame.
The Portuguese Army suffered badly in the Flanders mud in WW1 and the Brazilians were determined not to suffer the same fate and this applied in WW2 It probably requires a different thread but from my own efforts I'd say that Astor's comments were an early example of fake news - it didn't help that she had an acid tongue and was quite capable of it. Fake but entirely believable
Chilean battleship was almost involved too. US wanted to buy or borrow the Almirante Latorre, ex-HMS Canada, right after Pearl Harbor but Chile said no.