Okay, I've now washed these sheets five times now including twice before I put them on the bed in case the red bled. In my opinion, there is no way these are 300 count sateen. I'd say 180 or 200 max percale. They do wrinkle no matter when I remove them from the dryer. It doesn't bother me except for the ends of the pillowcases and the edge of the top sheet that I turn over. They are not particularly soft. I found them rough feeling at first. However, after five washings, they are somewhat better. The design is only printed on one side. In addition, the sheets are not over generously cut. They still fit fine, but there isn't a lot of extra to fit over my standard mattress which is covered with a feather bed. I find the pillow cases a little skimpy and have to jam the pillows into them.
So, why did I give these sheets three stars? Even though they are red, I haven't observed any bleeding and they are absolutely adorable.