Yeah, I see that all the time. And an embarrassing footnote... Until a few years ago, I thought this was just normal so when I started on my current project, I started making a special metal channel to neatly slide the radiator into. Before I did it, I came here and just ask how others did it. It pays to ask questions here.
Not only is it possible to leave the radiator alone, on the new engines, you can get an adapter plate for the water pump to raise it to the center of the radiator. I am very thankful for this forum and the people here. I learn something new all the time.