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This is a GREAT question. Though entirely not pet related, lol!
If you subscribe to the phylogenetic species concept (asthe majority of biologists do now), then the short answer is, yes.
The simple answer is, the phylogenetic species concept revolves around all taxonomy being based on where the taxa split off the chain. Ad ot has been proven that all reptiles (Chelonians, Crocodilians, Squamates, etc), as well as all Avians shared a common ancestor. So whether you want to call them all reptiles or not, they are all connected. They share the same family tree.
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