I could imagine that double fans that are connected can essentially combine and share their roots, enabling them to find water and nutrients better and deal with trying conditions better.
Hybridizer I purchased from this spring told me not to separate any fans so I didn't. However, a triple fan I received had one fan that was clearly already separated from the other two so I did plant those separately to start two separate clumps. The single is definitely smaller and slower developing, but doing well and it did bloom! Be interesting to compare further over time...