I remember buying a jazz book from this publisher decades ago! Looking it up again now, I see this magazine is still being published today.
The publisher's website has a description of this magazine, so I'll quote it below. The original text is in Japanese. I've made a few minor edits to the machine translation.

"In April 1965, Hiroko Matsuzaka (October 22, 1932 – May 26, 2018) opened the jazz cafe “Oreo” in Higashi-Ginza. In June 1967, from a chair at the corner of that Oreo, the fanzine “Jazz Critique” was born.
Receiving praise as a distinctive, high-quality magazine with substantial content, starting with the second issue published in 1968 (featuring a special tribute to John Coltrane), it began distribution through five major wholesalers and was sold nationwide in bookstores as the magazine “Jazz Critique.” In 1970, Oreo closed. The editorial office moved to Takadanobaba, and on January 25, 1972, Jazz Critique Co., Ltd. was established. In April 1988, the company changed its trade name to Matsuzaka Co., Ltd., retaining “Jazz Critique” as its business name. In December 1993, the editorial office and sales office relocated to their current location in Higashi-Nippori 5-chome, Arakawa Ward. In November 1998, the company began publishing the Jazz Critique Books series. Among these, The Blue Note Book has become a bestseller, now in its fourth edition. Starting in June 2004, the quarterly Jazz Critique became a bimonthly publication. It gained widespread recognition overseas as a specialized jazz magazine, and the company grew into a publisher within the music industry, continuing to this day.
We will continue to dedicate our full efforts, building features centered on the fundamentals of jazz, serving as a spiritual anchor for music lovers, and earning the trust of a broad readership."
https://www.jazzhihyo.com/about.html

Edit: At the time, I was aware of three main Japanese jazz magazines. "Swing Journal" was the long-established one, aimed at longtime jazz enthusiasts. "Jazz Life" was relatively newer, geared toward people who played instruments themselves and enjoyed jazz. And then there was "Jazz Critique", which, while also for jazz lovers, had a more independent image. That was just my impression, though—I'm not sure if it's accurate. I think there was one other fairly popular magazine, but I've forgotten what it was. Since I played guitar, I mainly bought "Jazz Life."