Yes, Queen's greatness stems from the eclectic backgrounds because their music was so different. They were such a successful band because they were willing to hear new ideas and experiment with their music. Without the different backgrounds, they may not have been so open to trying new ways of performing.
The three founding members had different academic interests and most definitely approached music in different ways. I think this willingness to explore different methods played a part in making Queen great. I'm sure all three members had different methodologies regarding their music, but they also understood that another person's input is just as valid as their's. Accepting other ideas is important in the creative arts.
The band Queen is considered one of the best rock bands in the world. The band's success stems from the eclectic backgrounds of its members. The members all came from different backgrounds, which gave the band such unique ability to create great songs. The band's eclectic background helped the band achieve worldwide success.
No, I don't think the audience would love the band just because they come from eclectic backgrounds. It is great that they have their main job outside the musical gig and it is also great that their musical gig becomes a big hit in the world. We admire their ability to excel in their lives with good careers. We admire them even more for the masterpieces in music that they give us, songs like "Bohemian Rhapsody" that everyone seem to be able to sing to. It's their talents that matter.