It's possible but not likely.
I responded a little hastily and didn't look closely enough.
I have been a commercial photographer my whole adult life so I apologize in advance for a lame argument of authority.
Lens curvature as a general rule contributes to linear distortion. Even the highest quality lenses can have distortion issues. Back when zoom lenses came out, many pros like me didn't like them because the designs weren't advanced enough and with wide ranges of focal lengths you could get barrel and pin-cushion distortion that was pretty noticeable. We all preferred our fixed focal length lenses. Computer designed multi-element lenses slowly improved on these deficiencies.
If this Pork Pie snare image is distorted it would be barrel distortion. Not very likely in a studio scenario with modern optics at a relatively normal camera to product distance. The snare looks like it was photographed with a relatively normal field of view lens (i.e. a 50 mm on a 35mm camera) NOT a wide angle or a long telephoto.
If a lens doesn't perform well, you typically get barrel distortion with wide angles and pin cushion with telephotos.
I put that PP photo in Photoshop (snowed in today and too much time on my hands). The image was a little off and tilted ever so slightly to the right.
Look at the following photos with horizontal and vertical guides dropped in. The shell is pretty true the rods aren't.
OP Photo -
Upper Barrel Distortion - Now the tension rods are true vertical
Lower Pin Cushion Distortion.
Also, this image doesn't appear to suffer from convergence. You know like when you point your camera up at a tall building and the top of the building is angled in because of the image plane not being parallel to the building.
Sorry if this is boring for some but I'm into optics and imaging and photography in general so I thought I would provide a little info.
So.. .. in keeping with the intent of the OP. I have only given this snare a few whacks at my GC when they had one. It appeared to be in perfect condition and I didn't notice this splay when looking at the drum in person. It sounded good and with a head swap and some tuning time, I think it would a nice choice. To be fair, I didn't look that closely. Like I said, I am not really picky.
But this whole issue begs the question. What's the deal with seating tension rods and washers on hoops? All of my hoops on all of my drums have the tension rod hole elongated to accommodate any slight variance. Do some hoops not have enough play to allow for the top of the rods to sit out far enough? Maybe so.
I was looking at one of my old Gretsch snares and one of the rods was "splayed" in a little like the Pork Pie photo. I just loosened it, nudged it out a little and retightened it. Problem solved. It would be cool if they made washers that had some small bumps or created a little more friction on the hoop so you could adjust for splay and keep everything lined up right. This probably happens because of a tendency for the rod and washer to want to sit in one spot on top of the hoop when tension is applied.
What do you think?