At those points in the series, it is highly probable that Voldermort was not much more than a consciousness, inhabiting the area around him, and indeed, nearby animals such as that eagle. And whilst he may have had some semblance of a body, it is unclear his mind was confined to it.
This would explain why the ‘outside view’ visions are only up until his resurrection.
I anticipated your response, but I don’t think it sufficiently answers the eagle scenario.
This wasn’t by chance, that the closest animal happened to be the eagle, which was ‘caught’ in Voldemort’s trap. Harry was looking from the point of view of the rider, as is stated clearly when the eagle rider steps off.