From one of the many covers of The Hockey News covers that Yzerman was featured on back then:
Yzerman was a huge superstar and well marketed in the late eighties and also early nineties, showing up on many highlight videos, magazines, cards, posters, and so on. He was generally considered the third best player in the world after Gretzky and Lemieux.
However, in the early nineties his star did begin to fade a bit for various reasons, probably most notably that he started to shut off a bit from the media. Yzerman was never one to blow his own horn, but whereas before Jacques Demers definitely had the media attention and drew it to Yzerman, Bryan Murray was quieter and not the same way. Yzerman also had his own issues with the media, the Canadian media first (notably the Canada Cup 1991 thing and his comments on refusing to play for the Nordiques if traded for Lindros), and later the Detroit sports media (some of the stuff writers... speculated to be charitable/made up to be real lol... were understandably upsetting for Yzerman). Add to this his own stats decreasing as the team got better and Detroit's playoff failures during the period, and yeah. There was a Bob McKenzie piece on Yzerman sometime around 1992 that discussed how his stock had fallen a bit due to these reasons. By the mid nineties, initially Yzerman and Scotty Bowman did not get along well to begin with, and well, Bowman's side of the story was generally what was told in the media at the time.
By the time the Wings won their cups in the late nineties, Yzerman was once again one of the most popular players in the hockey world (I believe his was the most sold jersey quite a few years in this time period), but he was known for his defensive play and leadership more than his smooth as silk offensive skills. This is the Yzerman that people afterward remember, and as time goes on (been thirty years since Yzerman's prime) of course his early years will be less and less remembered.
Interestingly enough, I think Yzerman's best hockey actually was during the time he was fading from the hockey world, in the second half of the 1991-1992 season (first part was a big slump) and into the 1992-1993 season. Even if the numbers were slightly lower than in the late eighties as the Red Wings were a very deep offensive team by then, Yzerman was just an everything player at that time for the Wings, offensively and defensively. The playoff injuries and failures really make it forgotten a bit.