Keante
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As far as I can tell, under RAW, if an evolution lists subtype requirements and the shadow subtype isn't in the list it can't take it. I don't have the actual book, so I don't know if there might have been a paragraph giving a list of evolutions to which the shadow subtype would be added.
There are several natural attack evolutions that meet that description, thus being off-limits to shadow eidolons. Seems weird, though, so there's definitely a reasonable house rule for your DM to make there.