Sorry to hear you are having some issues on specific PCs. Let's try to narrow down the issue and get it working for you! Here are some questions and suggestions to get started:
Are you using Windows 8.1 or later (64-bit)? --- All computers involved are Windows 10 Pro (64bit)
What version of SteamVR are you using? --- 1.5.9
Do you have admin rights on the logged in account? Do you see and accept the Windows UAC popup? --- Yes admin rights. Yes popup, always accept.
Do you have the robot face icon in the notification tray? --- Yes, it starts with gray eyes, they orange and turn to green sometimes.
With the Pro Eye plugged in and link box powered on, does the notification icon robot have black eyes or are they green/red? --- Answered above
If you right-click the notification icon and select "About", what eye camera version is shown or is it "N/A"? 1.88.0-8106667
Can you try uninstalling these:
- Tobii VRU02 Runtime
- VIVE_SRanipalInstaller
Restart PC.
Install latest runtime (VIVE_SRanipalInstaller_1.0.3.0.msi)
Plug in HMD and wait for any updates to complete.
I have done this exact procedure for 4 versions 0.8.x.x, 1.0.x.x, 1.0.1.x and 1.0.3.x (mentioned previously). With and without manually deleting all files/folders that match both SRanipal and Tobii on my computer (since the uninstall doesn't seem to remove them and going back to a previous version doesn't work without this).
If you are still having issues can you post or PM me a SteamVR system report?
SteamVR > Settings > General > Create System Report