Multiply shadows issue between separe psd files in ıllustrator

I have an Adobe Illustrator document that contains two separate PSD files.

One PSD is used as the background, and the other PSD contains a visual with a shadow underneath set to Multiply blending mode.

In Photoshop, the shadow correctly interacts with the background. However, when these two PSD files are placed separately in Illustrator, the Multiply shadow does not interact with the background PSD and does not darken it.

The layer order is correct, and there are no issues in Photoshop. The problem only occurs in Illustrator when the PSD files are placed separately.

I would like to know whether this is a known limitation or a bug related to how Illustrator handles transparency and blending between separate PSD files. If there is a recommended workflow to preserve correct Multiply blending, I would appreciate your guidance.

Thank you,

Özge