This is one of the sources of my biggest gripe about BvS. Don't get me wrong, to me MoS was OK (not good, not bad, just ok). I accept that this was the world created by Snyder and Co and I agree that when 2 super-beings with almost unlimited strength decided to go head to head, it's the little beings (humans) that will suffer.
Because of what happened at MoS, the divisiveness it spawned and the bombing of the Capitol, I fail to feel anything about his untimely demise via Doomsday. I think if it happened in this world, the majority of people will be glad he is gone. Before him, super beings were not in the forefront. To the common observer, he probably brought all of this destruction on the Earth. His death was a good thing, so I don't see that many mourners would come to his funeral.
I just wished that he was established first as a real hero, one that the world in that film would accept and love, that way his death would bear more weight. I felt that part of the story was not given enough due by the writers. They should have just left it out.
I think it would have been more interesting if Batman got to plunge that spear into him "killing" him in the process. Then with Superman's "dying" words, he'd ask Batman to save his mother. 
