Makes me want to make a free clone that includes science words, and isn’t afraid of the letter S.
[1] https://www.oed.com/search/dictionary/?scope=Entries&q=Whing...
That's not to mention common phrases with a built-in redundancy such as "Cease and desist"? "Face mask"? "Free gift"?
Idiomatic English has lots of redundancies of one kind or another.
I can't think of a single use case for whinge that wouldn't be equally satisfied by whine. Can you?
English (as all modern languages) has tons and tons of exact synonyms and other types of redundant words. It's just a normal part of usage.
In this specific case I personally prefer whinge for emphasizing the complaint and whine for emphasising the noise, so I don't really think they are redundant - I think they are slightly different.
You can see 'whinge' gaining ground very recently at the expense of 'whine' here:
https://books.google.com/ngrams/graph?content=whine%2Cwhinge...
This is an outrage, and must be stopped. :-P