Here's a good link I came across, talks a little about MTP and Fast Start options. Has some good debug commands too.http://www.cisco.com/en/US/products/sw/voicesw/ps5640/products_configuration_example09186a00808ead0f.shtml
Can you ping the Unity server from the CUBE? You might also want to try checking the "Media Termination Point Required" box on the h.323 gateway if you haven't already. Can you post your 'voice service voip' and dial-peer config?
You don't happen to have the word "Voicemail" in the alerting name or caller-ID do you? I would guess it's hitting Unity, might look at the logs there.http://www.cisco.com/en/US/products/sw/voicesw/ps556/products_tech_note09186a00800dea82.shtml
I don't know much about CUBE, but I wouldn't think it being sent to/from a CTI route point would be a problem. It could possibly be something with the call being marked redirected or diverted, but that would have nothing to do with the CTI route poin...
This is normal if they're not true CTI RP's, i.e. connected to a CTI server on a IPCC or CUAE box for instance. If there just doing forwarding like a 'straight to voicemail' route, then this is what you would expect to see.