I have never seen eyebrow razors before. Interesting.

I’m not sure I would bring a sharp blade that close to my eye with my eye shut. I wonder if it is being used by a hair dresser.

It looks like a small shavette, which is essentially a straight razor with a disposable single edged blade. There are some posts on SRP dealing with shavettes you might want to read through just to see if that is a good choice for you before going full bore into cut throat razors.