If the GE/Jasco really are Z-wave plus, I think they should report button presses. Which GE/Jasco models exactly do you have? Which driver (Type) is each using? Are all the 12344? Under the plate do they have the ZWXXX number, that often helps to identify which device you have exactly, Jasco used some odd numbering with some devices.
Many Leviton seem to be somewhat problematic in reporting status until they are updated. There is also a community driver that seems to fix issues with some devices.
