I guess what confuses people, Amos, is the phrase "All wrapped..." which suggests that it was head to foot. But that word could simply be in the line for scansion reasons

And then, there is another version in the DT, here. The first two verses make it clear that he is still alive, and was left in the street deliberately, and the people who did the wrapping (either bandages or shrowd) were on the run.