Thank you Remi, I assume that means that my original code was correct (although it produces unwanted results). I am slowly reaching the conclusion that the problem is with st_intersection(), which traverses the raster in an order which is not compatible with my line shape and any attempt to create order by using a sequence number will only cement the wrong order. If my assumption is correct, maybe there is no solution to this problem. But I am not a GIS person, so I'll defer to those who know what they are talking about.
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