Yea, its not that, too thick/square, handle too small, etc. You'd never get a plug in with it (I've done thousands of them - tires are really tough). But I get how it looks like a plug tool.

Looks like some kind of levering tool.

As an aside, check out the screw-type tire plugs available today (basically a plastic #8 screw with glue on it). Way easier than the traditional plugs and work just as well.