One could add that these videos are being shown following the re-airing of the first season on the following channels:
Tokyo MX: Wednesdays at midnight starting October 7
TV Aichi: Wednesdays at 26:05 starting October 7
BS-11: Thursdays at midnight starting October 8
TV Hokkaido: Wednesdays at 26:05 starting October 7
TBC: Sundays at 25:55 starting October 11
BSN: Wednesdays at 25:59 starting October 7
RSK: Fridays at 24:57 starting October 9
CBC: Wednesdays at 25:53 starting October 7
TVQ: Thursdays at 26:00 starting October 8
The second season is also being re-aired on ABC Asahi on Wednesdays at 26:44 starting on October 7 (episode 1 aired September 30 at 26:15).
Pony Canyon, Kyoto Animation, and Lantis are the three companies sponsoring these re-airings as promotion for the movie. It seems like that would be slightly more important than recapping character designs/story so readers would anticipate seeing one of these videos each week.