@Cyber
It's very likely the status were indeed "walked" approximately as per that video.
There are better videos on YouTube that show it more clearly. This one it better (same video, but the camera angle is much better):
This technique was figured out when Thor Heyerdahl was there, and it's covered in his book.
He was contacted by a Czech engineer was thought this would work, and IIRC they tested it with a real Moai.
BTW this is a common technique for moving heavy objects like refrigerators and heavy furniture.
The track that they used to move the Moai was still there when Heyerdahl was there (maybe now too, but I don't know for sure). It was relatively level (as you'd expect), had no steep sections, and it was hard-packed in a way that was consistent with the "walking" way of moving them. Not proof of course, but if it was e.g. not hard-packed that would be evidence against "walking".
Two other relevant snippets from the book:
1. It says the Easter Island version of the Polynesian language uniquely has two words for "walk", one of which is for normal walking, the other for walking with the feet pressed together (i.e, like this method for moving the statues). There's a photo in the book of an old local demonstrating this.
2. They found some Moai with bases that were worn down in a way that's consistent with "walking". I don't know if that's been rechecked since then, but a many more Moai have been dug up since then, so the sample size should be larger.
That image is from the same book, and it's one of the largest Moai. Most are less than half that size.
That one might be too big to "walk" easily. It works partly because the statues are bottom-heavy, so they can be leaned quite far and still return to center on their own.
The (relatively few) really big ones are less bottom heavy, and much heavier. They might well have been more inclined to fall over while "walking". They can be lifted back onto their bases with very low-tech methods (also shown in Heyerdahl's book), but the bigger they are, the more work that would take.
BTW I have Heyerdahl's book with the original image of that very large Moai, but I can't find it right now.
It also has an image of the one with the Western-style 3-masted ship.
IIRC the guy in the blue "safari suit" top right is Thor Heyerdahl, the blond guy in the left one level down is one of his sons.