He can definitely jump into that generator more than once. I have had it happen to me as much as three times in one battle. Bass at least makes dealing with the generator a more simple task.
As for Burner Man. I'm not really sure if Megaman's sliding under him or Bass' jumping over him is the more tricky maneuvr to perform. Since I don't care about Megaman in that game, because really the game is made with Bass in mind, I probably won't find out.
Oh and I forgot that I hadn't buster duelled with Astro Man yet. I went ahead and did that. The thing is the majority of his attacks are very easy to dodge but there is still somewhat of a luck factor to him in that sense that he can randomly crash into him, completely unpredictably, or after his copy shot he might crash right into you when he is done. I might be able to find another way to dodge that attack that will leave me safe however. And I did manage a flawless battle against him. He wasn't too bad. A little annoying at times though.
Oh and Cold Man, Pirate Man, Magic Man and Drill Man are all pushovers. Its a shame that half the cast of robot masters are pushovers. And Tengu Man goes quite trivial with Bass as well.