I THINK if the SA PIM is version 4 or below, then that likely doesn't support repeaters.
As for switches, its a tricky answer. Simply Automated switches are all Gen. 1 and most of early Gen. 1 DIDN'T support repeaters. Other companies make Gen. 2 and Gen 3 which do support repeaters. Simply Automated has told me that their current switches do support repeaters, but I don't know how to tell from just looking at them, and from my experience some newer ones don't. I'm not sure if I just got old stock. I bought a NEW SA ceiling fan controller with a red/green LED that doesn't seem to support repeaters, and this type switch is pretty recent.
I should also explain a bit what "supports repeaters" really means. Even the oldest Gen 1 stuff can use repeaters from the PIM to device or device to the PIM. Where the problem is, is on the return path. A PIM should be able to turn on a light through a repeater fine, but UPStart won't be able to program the switch. Its a subtle (and frustrating) difference.
The oldest SA stuff did not support repeaters. At some point SA made a change and it appears they are supported, but SA has never been a fan of repeaters, and they usually don't think there is a reason for one. I disagree.