Hello —
I'm not an expert.
But I know how I've felt when I've received a coin that I had uncertainty about.
When I've gotten an NGC-graded coin in the past and wanted to feel a bit more confident in it, I would check to see if the coin had an NGC image available online.
I'm personally convinced that the obverse of the holder you picture is the same as shown in the NGC-published image for the following reasons. This is just my opinion as a layperson who has purchased some coins in the past.
There is a chip or some kind of speck at the lower right obverse of the holder. I am showing it here first on the NGC image, then the image you provided. I added some black markings to identify the dark spot and to give an approximate spatial reference in relation to the plastic finger holding the coin —


About the coin, I notice a light-colored dot between the I and B in LIBERTY that seem to match when I compare the pictures —


Other items I have used in the past to compare an in-hand coin/holder to an NGC-published picture include shreds of paper that I think were left over from the label-cutting process trapped in the holder (same shape, location, color to my eye), and distinctive spots where the gasket (soft interior part of the holder) presses up against the holder casing in what I consider to be an identifiable way.
I have never done such a comparison without the coin and holder actually in my hands. I feel far less confident comparing two pictures rather than a picture to a physical holder/coin.
This is just my opinion of course, and like I said, I'm not an expert.