I encountered an issue a few weeks back that was a little strange, but I didn't need to pursue it as my Windows Server 2008 VirtualBox VM Decided to die upon installing some Software Update, but yesterday a customer contacted me on the very same issue.
The problem is that you cannot install Asset Management Suite via SIM after CMS was installed. The error occurs on the InstallReadiness check named "Upgrade Required".
The readiness check is encrypted so we cannot exactly see what it is verifying and what is failing, but I have a case going to backline to check this right now.
Let's see what the error comes from, but as I answered the customer today: No, there is no incompatibility between AMS and CMS 7.1 SP2.