回答
this is not a piece of advice to you I'm talking to myself for my practice of writing skills.
I'm sorry I can't find any difference. Please refer the example sentences on the weblio dictionary.
:1) all over the world.
https://ejje.weblio.jp/sentence/content/all+over+the+world+
:2) in the world.
https://ejje.weblio.jp/sentence/content/in+the+world
:3) around the world.
https://ejje.weblio.jp/sentence/content/around+the+world
:4)the world over.
https://ejje.weblio.jp/sentence/content/the+world+over
this is not a piece of advice to you I'm talking to myself for my practice of writing skills.
I'm sorry I can't find any difference.
I'd introduce Kevin-san's saying that It's a good idea to try to guess what the person who used the word was thinking, from the situation at the time, and from the sentences before and after. Meanings are in people, not in words.
:Kevin-san.
https://qa.weblio.jp/回答をしばらく休みます-82285
:4)the world over.
https://www.youtube.com/watch?v=l1Ja3UwIO_o&t=105s