I doubt QCI levels are affected by this. I think Call handshakes are QCI 5 and the calls themselves are QCI 1 but im not an expert.
Have you tried disabling 5G and dropping back down to 4G? I heard that the transition from VoLTE to VoNR might still be sketchy and not fully solidified. Just turn off data altogether and see for a while to see if that improves things.
Maybe porting your primary number to a cloud PBX service like Google Voice or some business oriented service? When someone calls your number, the carrier-to-carrier SIP handshake happens on Google's redundant enterprise servers instead of targeting your sleeping iPhone. Google's servers instantly answer the routing request, hopefully preventing a timeout. GV then forwards the call to your iPhone's GV app using a standard data push notification, hopefully waking the phone reliably?
Just throwing ideas out. If you've tried these already, apologies for the redundancy.