I was taught a throw in Muay Thai of all things, which they just call a "foot sweep," but I recognize it as a Judo throw. It is shown at 2:20 in the linked video. It could be mistaken for one of the "ahsi" throws in Judo, except that Uke's leg is not actually swept. The leg has weight on it and Tori just blocks it from moving. The throw is accomplished, not by moving Uke's leg, but by shifting this body over the blocked leg. I'd like to know the proper name of that throw.
The judo name is sasae tsurikomi ashi (propping, lifting-pulling leg). Your mechanics description matches this quite well. Done in a minimalist judo style, the leg is not kicked, but simply blocked.