The coin inlays, I believe, are struck with dies (coining process). The chip on the right has newer dies. The one on the left has more worn dies as evidenced by the breaking off of the thin strokes above and below the dollar sign and the portions of the S and G that have broken away. Also the die has filled, eliminating the detail in the interior of the heel of the slipper. The top of the slipper is domed in the early strike, while the later is flattened, possibly from some object hitting the edge of the die. The two dots are the smallest, least supported detail in the die and they would likely wear faster, creating smaller incuse dots on the later strikes.

I don't believe an engraver would make new dies with these differences; thus my opinion is is normal die wear plus damage to the striking die and not a different chip variety.

However... coin colletors do often collect die varieties in older US coins that result from damage, repair, or re-engraving of the striking die. So a case could be made for these being die varieties. What would be required is examination of a large number of chip inlays to see if the design exhibits a gradual change or very distinct differences with no intermediate steps. Smooth inlays vs concentric circle inlays are another case of differences that are likely due to die-use wear or polishing wear, and many of us do collect these as varieties.