Hi elapid,
Thanks for the “12 night update” :).
No … this wouldn’t make any difference outside of possibly affecting the comfort level the first night if the mattress wasn’t fully decompressed. While it may just be a matter of physiology and where you are in the “oven to iceberg” range and how sleeping on memory foam affects you more generally … there is more information in post #2 here that may be helpful to track down some of the other possible reasons that you are sleeping hot.
Phoenix