What "cinematic" actually means
Cinematic is a look, not a content type. Specific visual choices: shallow depth of field, anamorphic or wide spherical lenses, deliberate camera movement (slider, gimbal, dolly) instead of handheld coverage, and a color grade that mimics the muted contrast of film stock. Any of those choices can be applied to corporate content.
What "corporate video" actually means
Corporate video describes the audience and use case (B2B, internal, sales-supporting) more than the look. A corporate training video and a corporate brand film are both corporate, but they look completely different. Treating "corporate" as a visual style is a category error.
Where the confusion comes from
The phrase "corporate video" got associated in the 2000s with a flat, fluorescent-lit, locked-off camera aesthetic that read as cheap. People started using "cinematic" to mean "not that." But the actual visual approach has nothing to do with whether the audience is corporate. There's plenty of cinematic corporate video and plenty of non-cinematic indie work.
What to actually ask for
Instead of "we want a cinematic feel," try: "we want shallow depth of field, slower deliberate camera moves, and a color grade that pulls warmth out of skin tones and crushes the highlights." That's actionable. "Cinematic" alone leaves a production company guessing.