Solid state means no spike is created by disconnecting. Same is not true of a mechanical switch. Timing (how semiconductors go open circuit) is critical to understanding why semiconductors do not need suppression and why other 'crude' switching devices (ie a switch) may make it necessary.I have highlighted a couple of passages that seem to indicate that AC output modules only require surge suppression if the solid state output module switch is in series or parallel with a "hard contact" such as a push button or selector switch.
This might be obvious by viewing with an oscilloscope.