Dave,
The 4C is slightly less sensitive than the 4T. However, the difference isn't enough to have a major impact.
I found a manual for the SA-AX610 after digging and have read it over. You're not going to be able to use 6 channel discrete if you want to boost the center using channel level adjustments in the menu of the receiver. You mention that you increased the center 4 dB, but that is actually adjusting the center channel for Dolby Pro Logic and has no effect for the 6 channel discrete.
It might be possible to increase the channel level outputs on the DVD player. Not sure which Sony you have but since it has multi-channel outs is a pretty good indicator that it has some sort of level control for the outputs. There are also some input level adjustments on the back of the receiver that might work too.
And during listening to two channel sources such as music, playing in Dolby Surround synthesizes the center channel sound information, so yes, it is quite possible that will be quieter.
Yeah, upgrading the reciever would be a great option too, especially if your DVD player has a digital output (either coax or toslink). In which case, the audio connection is simple, and then the receiver will process the surround sound information and give you the best possible sound for the source.
Hope this helps.
Mark
Aperion Audio Guru