Detergents are basic because that works wonders on greasy stuff. When oil polymerises it won’t be susceptible to basic substances anymore but will react to acids. (Unlike acid and oils which don’t really react with each other – think vinaigrette separating in the fridge.)
Washing a cast iron pan with detergent will clean it from unpolymerised oil.
Cooking e.g. tomato based sauces in your cast iron pan will strip it of the polymerised coating (might impart flavour too).
Cleaning kitchen tiles near your stove is sometimes easier with acidic cleaning solutions as well. Just be careful with the caulking which will brittle over time from using acids.
A scanner would be your best bet.
But you could go wild and ditch the photo idea.
The original piece was modeled in CAD. Simply follow the logical path for how it was originally done.
Measure the outermost dimensions and draw a rectangle as construction geometry. Then play around drawing a couple of circles - chances are that the top and bottom curves are circles and are trimmed and joined with eachother with say blend curve to preserve tangency.
Also measure the distance of the holes to the rest of the geometry. How far are they from the top and sides. You could measure their distance to eachother crosswise too to narrow down the measurement error.
The geometry is built around simple measurements, if you can work out the sketch tools and constraints, you can probably match the original with high precision.