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Clato makes more sense than Glato for the following reasons:

Clove and Cato are both from the same district. So they most likely knew each other before the games started. I read the books before is saw the movies, the books came out before the movies. But first, while we're still on the topic of movies, when Glimmer died Cato didn't care. He just left. When Clove was hurt by Thresh, he was upset and didn't want her to die (in the book). There was a reason Gary Ross wasn't allowed to do the rest of the movies: He didn't do a good job. He strayed very far from the plot and it was a big mess.