Why does gravity not explain the Casimir Effect?

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The Casimir Effect is primarily attributed to quantum vacuum fluctuations in the electromagnetic field, rather than gravitational forces. As the distance between plates decreases, the attractive force is significantly influenced by these quantum fluctuations, which diminish rapidly with distance. In contrast, gravitational force remains relatively constant regardless of the distance between the plates. Experts debate whether these fluctuations should be classified as vacuum fluctuations or as matter fluctuations related to the van der Waals force. Understanding this distinction is crucial for comprehending the underlying mechanisms of the Casimir Effect.
Nick Bratcamp
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Please explain how the gravitational effects are accounted for in the Casimir Effect? At a basic level, I want to understand why the quantum vacuum fluctuations in the electromagnetic field are the cause of the attractive force rather than gravity.
 
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When the distance between plates is much smaller than the size of the plates, the gravitational force does not depend much on the distance. On the other hand, experiments show that the force rapidly decreases with the distance, which can be correctly explained by quantum fluctuations.

There is some dispute among experts whether these quantum fluctuations should be viewed as vacuum fluctuations or matter fluctuations (van der Waals force).
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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