Chocobo breeding 101:

[Fealow]

So can you breed just 2 chocobo's of your own, instead of using the coverage?

Yes you can, however if all fledgling chocobos you can buy at the stable always start with 2 stars in every parameter, you'll never be able to get higher or lower star ratings unless you use a covering at some point.

[Syrellaris]

Yes you can, however if all fledgling chocobos you can buy at the stable always start with 2 stars in every parameter, you'll never be able to get higher or lower star ratings unless you use a covering at some point.

Hmm so in that regard, its simply better to just buy coverage from a nother chocobo.