My Bible footnote says in Hebrew Yam Suph, that is the Sea of Reeds.

Probably this Hebrew words mean the Sea of Reeds, but New International Version followed the traditional translation, which was the Red Sea though it was not exactly the Red Sea judging from Hebrew words.

There's not much difference between ebb and flood in the Mediterranean, for instance.

I saw Mediterranean Sea one time in Venice. If there had been ebb and flood there, the whole city of Venice would not have survived.

Personally I think the whole story is a myth made by people who had only heard about Egypt and the Red Sea.

I think the whole story of Genesis is mythical. Many people live slightly less than 1 millennium, for instance, and there's no description between the event Joseph invited his 11 brothers and the beginning of Exodus though there must have several hundred years time.

As to crossing the sea, there might have appeared the passage had the direction of flow in the lower part of Nile changed. It might have been a complete fiction to emphasise the miraculous power of their God.