Ah, memories. Used to use BeOS as my primary OS for a year or two. I think it's the only OS I ever found to be truly intuitive and pleasant to work with.
That said, I don't think the world would be in a better place had Apple chosen Be over NeXT. The elephant in the room is security: NeXTSTEP, being Unix-based, has some amount of security baked in from the ground up. BeOS didn't; it was more akin to Windows 95 or classic Mac OS on that front. Consequently, I doubt it could have made it far into the 21st century. It would have died unceremoniously in a steaming pile of AYBABTU. Taking Apple with it, presumably.
That said, I don't think the world would be in a better place had Apple chosen Be over NeXT. The elephant in the room is security: NeXTSTEP, being Unix-based, has some amount of security baked in from the ground up. BeOS didn't; it was more akin to Windows 95 or classic Mac OS on that front. Consequently, I doubt it could have made it far into the 21st century. It would have died unceremoniously in a steaming pile of AYBABTU. Taking Apple with it, presumably.