I thought I understood their difference. But then I went to this website (YourDictionary.com) with the following example sentences:
Immediately after delivery, infants immerge into a world of bright lights, cold medical equipment and lots of strange voices.
Hm, I would have thought that infants emerge but ok, maybe they dive into this new world. But I saw then the following example
In recent years, studies began to immerge about the health benefits of wine, including cardiovascular system improvements and decreases in certain types of cancer.
That must be wrong, mustn't it?