Okay, yes, I am remembering this correctly. I appreciate your taking the time to make the suggestion, Sander, and hope it can help others. In our environment, unfortunately, it doesn't solve the problem because we forbid direct access to ApacheReverseProxy2.
FYI, in the interim, we have received approval to add another RewriteRule on the organization's proxy server that directs the /rest/services traffic directly to the Web Adaptor host rather than through our application-specific host. They are not happy about it and they want it removed. However, there does not appear to be any other way around the problem with ArcGIS Server 10.1. We are waiting to see what the "fix" is that Ravi mentioned previously and to learn if it handles Apache's implementation to set values for the X-Forwarded-Host header key (when going through a proxy) rather than just IIS's.
Cheers,
jtm