What you see in the Control Panel is the "Global Settings Manager" which can and does remain even if the Flash Player isn't working or is partially removed. Where you need to look for the Flash Player is C/Windows/System32/Macromed/Flash and C/Windows/SysWOW64/Macromed/Flash (on 64 bit systems).
Unfortunately I don't deal with MSI or network installs, but I'll pass this along to another member who has experience with them, and get you a good working link for both installers.
Do you have both ActiveX (for IE) and plugin (for other browsers) installed? What files do you have in
- C:\Windows\System32\Macromed\Flash ?
- C:\Windows\Syswow64\Macromed\Flash ?
Did you use the MSI installers for both ActiveX and plugin? What is the digital signature date in these MSI installers?
Thank you both for your responses. All the affected machines are 32-bit. I see both ActiveX and plugin versions installed in the control panels.
The date on the 220.127.116.11 MSI digital signature are as follows:
plugin - Monday, January 06, 2014 10:02:50 PM
activex - Friday, December 13, 2013 6:09:54 PM
Here is what I see in C:\Windows\System32\Macromed\Flash\: