Could un-installing SharePoint designer which is installed inside sharepoint server affect sharepoint itself

I have two sharepoint farms; Live & Test. both have the following software specification.

1. sharepoint enterprise server 2013, with SP1.
2. installed inside windows server 2008 R2.

now when i build our Live & Test servers , i have install sharepoint designer 2013.but lately i have read many articles which mentioned that it is recommended not to install any office or other application other than sharepoint inside sharepoint servers. so now i am planning to un-install sharepoint designer .. now on our Test server, i followed these steps:-

1. Control Panel.
2. Uninstall a program.
3. select sharepoint designer 2013.
4. click on remove.

and the SP designer got uninstalled correctly.but before doing so on live server can any one advice on this point:-

Since both SharePoint service 2013 & SharePoint Designer 2013 are both within the office suite,, and they might share some patches , updates and .dll files.. so my concern if i un-install sharepoint designer inside the sharepoint server could this remove .dll or patches which is related to sharepoint ? or un-installing sharepoint designer will not affect sharepoint and will not conflict with the .dlls , patches related to sharepoint??