No, Axl Rose should not consider permanently separating himself from Guns N' Roses, because Guns N' Roses is more popular than Axl Rose is. In ticket and CD sales, the name recognition is so important. People are more likely to say - wow, Guns N' Roses, then they are likely to be impressed by Axl Rose. He needs the band.
Axl Rose should not separate from the group Guns N' Roses because he has been extremely influential and loved by the fans. It would be catastrophic for him to leave the group considering the history behind all of them being together. I do not think it would be a wise decision to separate.
Axl Rose as the last original member of Guns N' Roses is what keeps the band connected with its classic rock and roll roots. Also the fact he owns the legal rights, copyright and trademark, to use the Guns N' Roses name puts the survival of the band in jeopardy should he choose to distance himself from the band.
No, Axl Rose should not consider permanently separating himself from Guns N' Roses. While the man has some name recognition apart from his group (how many other people do you know named Axl?), Guns N' Roses is pretty much the only thing that he's known for doing. It's what his fans want?
I don't think that Axl Rose should permanently separate himself from Guns N Roses unless he is simply just quitting the business. It's not like he has a budding solo career in the works that he could accomplish on his own. I think that he should either stay or retire.