Good call. There was soft rock (George Michael), rock (U2, REM), hard rock (Aerosmith, Guns & Roses), and heavy metal (Metallica). The hair metal bands wanted to consider themselves hard rock, but they definitely spanned the gambit.
Bon Jovi was rock, bordering on hard rock.
But worth noting that the hair metal bands were definitely NOT trying to be ironic at the time. Calling them "hair metal" would have been an insult. It wasn't until the 1990s that Rock & Roll started lightening-up. It was more like hip-hop is now.