Writers go out of their way to redeem/repair after problematic runs or at worse try to explain Cyclops actions which a character like Bishop didn't get the very story that Cyclops was brought back in, The writer went out of his way to make Cyclops go my past actions where wrong or something to that effect basically ignore the Rightclops era. You are not completely wrong about Bishop being a smaller character as comparison to Cyclops the X-men poster child as reasoning why he might not have gotten character repair.
But Bishop wasn't a "minor" character until Second Coming he was consistent used character part of the rotation and even more he had more mini series than Nightcrawler, Beast, Angel, and bunch of other X-men many fans think as X-men mainstays or core characters. You can do a check but about roughly every 2 to 4 years since Bishop has been around he has gotten small miniseries or extended miniseries. And that streak continue after he was brought back with Prisoner X. Bishop has been more of an assets to franchise than most characters and pretty annoying for him to be brought back with no attempt to repair the mess and they had an easy out with demon bear. And writers never would have never missed that chance with Cyclops.
Since Cyclops is being mention it reminds of something I have said in another thread one of the most annoying thing about Bishop treatment is that Bishop was gone in the period where Xavier,Cyclops and Wolverine was gone and the X-men could used a prominent male lead. And the one thing missing from Bishop resume and one of the thing hold him back from being bigger is leading the X-men and without those characters mention he would mostly likely have prominent role as leader or at worse field leader. Bishop wasn't this small character with no potential, he was character on cusp on breaking into A-list zone. And one of things holding back is he has the same character archetype as Cyclops. Think about it
Both for known wearing a yellow and blue standard Xmen suits, Both are tactical minded, Both are boyscout clean cut types, Both shoot out concussive red blasts, Both have hook up with Jean Grey(sorry I couldn't resist). Now I am not saying Cyclops is the reason for Bishop being held back by writers I mean some writer could have easily made him a leader they are plenty of X-books BUT Bishop imo is best suited to do the some of the same things that Cyclops does so it is understandable why he hasn't taken off when one of roles he is best suited for is held by a character with more popularity. This is not problem exclusive to Bishop I think characters like Moonstar, Cannonball,Sunspot or Gentle, Pixie, Prodigy have this issue as well. So in addition to character assassination Bishop was off the board in period of time where he could have possible done good and be establish as bigger part of the X-men lore.