I don’t see anything here about single, long staple fibers, nor does it appear to be Egyptian Cotton–here is the info from the post for the sheets you bought.
Update your bedroom with this luxurious 100% Egyptian cotton sheet set. With sheets as soft as these, you will never want to get out of bed.
100% Premium Egyptian Cotton
Single-ply for a true thread count measure
Luxurious sateen finish
Single-ply sheets use individual, un-plied threads in the weaving process, resulting in a lighter weight fabric with luxurious drape
If I had to guess, I’d say that these sheets would be heavier and not as soft–the weave-type is the same, sateen (which I prefer) tends to be much smoother than percale (which is crisper and many other people prefer). Were I you, and I liked the sheets you bought last time around, I wouldn’t get these, primarily because there’s no info about how the thread count is achieved–whether or not it’s single ply. Just a few thoughts (who knew I had any to spare?)