Further, you can bypass ACR, if you went, when opening a RAW file (it's an option the Preferences for Photoshop) but again... That's not Photoshop applying Sharpening, and I don't think Photoshop does apply sharpening automatically. Adobe Camera RAW does, Photoshop (to my knowledge) does not.
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I think there is no one answer, much of it comes down to semantics. Most questions ought to be more specific.
If you "open" a raw file in Photoshop, it opens the same ACR first, before it sends it to Photoshop. It will not even send it at all, unless you do specify Open in ACR too.
The OPs thread about the video is about the sharpening in the Output line of ACR, where you also select sRGB and 8 bits, etc.
I think that affects any output method possible. That is not Bridge as said, it is ACR which can be started by Bridge.
The ACR tool bar also offers a default sharpening, as part of processing... I assume both are done if both are selected.
Photoshop does do default sharpening in its Resample box, like when you select Bicubic Sharper there, which preference can be set in the Edit - Preferences - General menu. Bicubic Sharper is a good thing for resampling.