Sure!
If you rely on the negative carrier to delineate the edges of the image on your print, you accept any blurring or artifacts that the carrier imparts.
Here is an example of the effect that the thick carriers on an Omega D series imparts - see the very edges of the image area:
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This only occurs, of course, when you elect to print the full image area on the negative, as revealed through the carrier.
If you try to mask off any of the image area on the negative by relying on those masking accessories, there will be more of a blurred area between where the image in the print is sharp and where the paper is white.
If you let that blurred area fall on the easel arms or even further afield, and rely on the edges of the easel arms instead, the fact that those edges are right against the paper means that you will end up with a sharp demarcation between image and white.
This might illustrate the difference:
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