yes i think iommi gets a pass because he actually released music and actually did something with the name. after the ozzy was shit canned dio came in and immediately added 2 albums to the bands discography that just added to the bands legacy(after technical ectasy and never say die left a huge shit stain on the legacy)
after born again iommi did want to go solo and stop doing sabbath, the record company refused to release any album without black sabbath on the album, it is why the seventh star album the name of the band is "black sabbath:featuring tony iommi" now from that point forward it would be kind of stupid to keep putting that name on the album cover every album, so he just went back to black sabbath.
the fact of the matter is nothing from born again(which is an underrated gem IMO) through cross purposes did anything to tarnish the legacy of sabbath. in fact a few of those albums(notably headless cross, dehumanizer and cross purposes) are highly regarded in the metal community and would be more well known if the record companies didnt fuck over the band and fail to push the albums especially in the states. yeah forbidden was garbage but in the whole lineup of sabbath only technical ectasy, never say die, and forbidden are bad.(13 was painfully mediocre and rehashed but not an abomination) and even those 3 albums had some good songs here and there.
the fact of the matter is the post ozzy sabbath lineups were lineups that stood on their own two feet and went out playing their music. they would play the hits but it didnt stop the dio era from performing their material and releasing a live album of that era, also didnt stop the martin era from doing the same. it is why the dio era could go out and play wacken, could play the hammersmith and play radio city music hall and other places playing just that era of material.
axl has done none of these things. he reformed the band,toured,canceled half the tour, reformed with some new members, toured. dropped an album,reformed with new members, toured,toured,toured,toured....... their is no material and no era's. in the 10 years span after ozzy was out of sabbath iommi released 5 albums with a 6th coming in the 11th year. axl has done nothing but sit on his ass and rolled over and died creatively that is it.
iommi made new music, with each era standing on their own two feet with albums that didnt hurt their legacy. axl has done jack shit except sit on his ass and milk the bands name for all its worth.