I know for fact these Orion Modules did not require Java, either on the server or client to be installed.
TFTP Server 126.96.36.199
SCP Server 188.8.131.52
Orion Network Atlas 1.12.1007
I have only evaluated FSM, I can't recall if Java was needed. I have not used Mobile Admin,
I have found generally SolarWinds applications and tools are based on Microsoft Foundation Classes for c++ and Microsoft .NET Framework
Not needing Java is one headache that I can leave to the Tivoli guys.
Update: I did research on the products *not* listed above as having Java dependencies (i.e. things not on the list) and it appears DameWare and Mobile Admin may have had dependencies (or at least the old versions we had installed). I uninstalled them (and some other non SolarWinds products) and then was able to uninstall Java without issues.