Don't quite understand why you would only change the bearing on the one side? I always change pairs of bearings and bushes as a matter of course.
But... if you are turning left then the unsprung mass of the nearside wheel will effectively reduce more than the effective increase on the offside (because the outside bearings will already be 'loaded-up' even at rest. Load is slightly exponential rather than purely linear in cornering). The noise (if it is the bearings) would then tend to change 'more' on turning left because that side would experience the greater apparent change in Mass-loading (the centre of gravity moves to the outside of the circle and the loading on the inside of the corner goes through the greater amount of 'change').
I would start with replacing the other wheel-bearing also.
Next ... check the exhaust baffle at the bottom of the bulkhead (I think they all had this)... my daughters' car which she had before emigrating (Escort Diesel) had a small blow in the exhaust just at the baffle plate... the exhaust gases were 'hitting the baffle and acting like a little drum. Inside the car it sounded awful, outside you couldn't hear the damned thing above the noise of the engine. It got louder/faster with engine speed. (Not just road speed) . Which is yours .. engine speed or road speed dependant? If it is engine speed related .. then obviously it is highly unlikley to be anything to do with suspension/steering. Road speed dependant .. it is likely suspension/steering.
As for radial tyre sudewall delamination as a suggested cause .... highly unlikely/improbable. Such, if it were to occur, is unlikely to give the symptons you describe. I haven't heard of delamination of car tyres being a problem for c.30 years .. you would see the effects of sidewall degradation (cracking and splitting first ... so this should be a really simple visual check).
Can't quite follow the logic of a noise being a 'balance problem' ... if it was a wheel balance problem you would not just hear it but also expect to feel it at it's resonant speed. Do you?
As this is OT for this group... you can drop me a offline email if you want to discuss.
ieb-aht-klokwurx-dot-koe-ukay
BTW .. my background includes (amongst others) automotive engineering so I do have some knowledge in this area.
I'd definately start with that 'other' wheel-bearing (especially if it is a humming sound rather than a graunching or rattling). Regards
Ian