I just did it. At a distance, you see yourself a long way off, upside down. You go in close and you see your eyeball the right way up. In between, there's the explosion and you see nothing because the image of your eye is behind you at first, then too near your eye to focus and then, there it is. You can tell it's the right way up when you blink.
Probably a teaspoon would be too small but I used a tablespoon and a soupspoon (spherical and better). Better still, a shaving mirror - or visit a funfair hall of mirrors.
I think you may be having a problem with confidence about understanding that video. Whatever you manage to make of it, the theory is supported by what you can actually see for yourself so you do not have to work too hard to reconcile what the guy says in the video. He is just peripheral to the real issue.
Quite frankly the video is very bad. If he wanted to show you what he was actually seeing then he should have carried the camera with him. As it is, he's actually lying to you about what he and the camera see! He's not too sharp, actually. He started off mixing up convex and concave names and then he fell over his floor marker - duh! Not worth worrying about it. Just repeat the experiment with the spoon and see your eye invert after the exploding region. Admittedly you don't see your eye in focus, up close (unless you have very strong accommodation muscles) but when you
can see an image, it HAS to be in front of you.
Don't forget. You are not obliged to believe what you are shown in any video when it clearly doesn't make sense.