OK, let's define "Photoshoot".
From oxforddictionaries.com
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Definition of photo shoot
noun
another term for photo session.
Definition of photo session
noun
a prearranged session in which a photographer takes photographs of someone for publication.
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If you are the photographer, you make your own prearrangements.
The someone would be your BMW.
Publication would be putting the photos on a website.
With this information it seems to me that the term "Photoshoot" would be correct.
Of course I over analyze everything.
