I mean, there can be a first edition of a particular translation or typesetting.

This is a good example of people wanting to look smart rather than actually be smart. That is, they do not understand the publishing world or typical publisher terminology. “First edition” just means the first released version of a particular typesetting. Thus, a work like Homer’s Iliad can and does have many first editions, depending on translation, publisher, and which country it is released in¹.

The first printing of the first editions are particularly valuable in the rare book world, often.

For example, here is a first edition, first printing of the Iliad, though it’s not worth all that much.

Smart people are quite dumb.

1. For instance, books often have UK and US editions, and each respective one has a “first edition.”