Hi Jules
Firstly, it sounds like you have chosen pretty good quality components, so that's a good start !
From what I can work out, you have the conventional arrangement of a magnetic cartridge in the turntable, feeding its (very small) signals to the amplifier which has a dedicated Phono (=Phonograph) input. Inside the amplifier is a special preamplifier which has the necessary extra gain and tonal equalisation to suit a magnetic cartridge.
If the other sources like the B2 operate OK, it suggests that the speakers are wired correctly and both working. If the speakers were wrongly phased you would get a lack of bass at a central listening position and poor stereo image, but it would seem that this isn't the case. Still worth checking though.
That doesn't leave an awful lot to go wrong. If one of the two stereo channels sounds fainter than the other, try swapping the connectors over at the amplifier's Phono inputs, i.e. Left to Right and Right to Left. If the faint channel swaps sides to the other speaker, it suggests that the fault is in the magnetic cartridge or its wiring.
I must admit that I don't subscribe to the idea of exotically made and priced cables. As long as the screening is good and the contact resistance is adequately low then they will work fine.
The only other thing I can think of is that the mix is different between CD and Vinyl, or between original Vinyl and more recent re-pressings.
If you have such a thing as an ancient Mono LP (Charity Shop ?) it should of course sound identical on the Left and Right channels.
Good Luck, John.