Regarding the question in your original post, they are using JKA rules. Usually, in prelim matches, any clean, decisive technique is awarded "ippon" (1 point) and the match is over. A score, but not felt to be decisive (one punch, one kill...that kind of thing=decisive) is awarded waza ari (1/2 point). 2 waza ari equal a single Ippon, and win a match. Typically, in the finals (or semi's) on dan divisions, those are doubled, so 2 Ippon, 4 waza ari or a combination to 2 points win. There is no benefit or advantage in scoring to either hand or foot. Same score for either.
Scoring techniques must demonstrate control and limited contact, but also show that the competitor could have extended the technique causing real damage, "decisive", so punches must be pulled but could have been hammered had the attacker so desired. This is also true of kicks, so you might not see very many kicks because they are slower to develop (for most of us), and are harder to control (so, a risk of hitting too hard and DQ). Plus, in JKA rules, you can usually grab. Maybe not hold on, but definitely grab for a short time. So, kicking legs or uniforms get grabbed and the kicker dumped. Maybe, in the video, the judges didn't award a point or 1/2 point for the kicks because they felt the kicks were too short, or could not have landed a decisive strike, or perhaps they were slipped or evaded which couldn't been seen well on video. (I can't see any of the video. Something wrong with my plug-in).
As for contact, in the black belt divisions, you might be allowed one heavy strike if it looks accidental. A second will cause you to be DQ'd. If you go back and watch some JKA matches 15 -20 years ago, you'll see some serious knock-outs. The rules are now enforced about light contact to prevent injury. Remember, though, a technique is worthless if the judges feel it could not have been landed with serious impact but was not because the competitor had control. JKA tends to reward counters, and you will see competitors trying to goad each other into a first attack. Speed is all. I'd guess (in my personal experience) more than half the scores are reverse punch. Simple, right to the point. This penalizes kickers most of the time, although you will see serious kick exchanges now and then. By the way, sweeps are permitted, and I would argue that many of the sweeps are really kicks - very hard fast kicks, but not intended to score of themselves. You knock the opponent down with a leg sweep, and then score Ippon with a hand or foot strike to the prone body. The knock down itself has no scoring value, but merely sets up a strike to a vital area.
Hope this helps.
So, with all respect to any TKD or other kick-centric styles, if you are allowed to grab a foot or pants leg, you might not see so many kicks, especially high ones.
