No. Each client will call the first Slice opened Slice A. Then Slice B, etc. The radio model determines how many Slice (receiver) resources are available (6700: 8, 6500/6600/6600M: 4, 6400/6300: 2)
When no more resources (Slices, Panadapters, DAX Channels, etc) are available, the client will indicate this to the user by disabling the button to open more of that resource.