I have a CJ cav45 S2 60 watt and believe that is close to your amp. I had same problem. I had to turn the volume up to find the sweet spot on 6 ohm 87 db and 8 ohm 92 db speakers usually 11 or 12 o’clock on volume knob at those levels sounded great. It was not enjoyable at low levels at 8 to 10 o’clock. I thought it was the integrated being a control amp it may lack gain. Hearing you have a preamp with same issue makes me wonder about my CJ.
I did buy a 50 watt class A tube amp recently and on both speakers it sounds big and full at very minimal volume levels and just gets better as you go up in small increments. Even though it’s 10 watts less than the CJ it sounds much more powerful, dynamic and detailed but kept the same CJ musicality.