Either we're driving on different roads or that's an urban myth. I can't say as I've ever noticed any great difference in the surface quality in different lanes, certainly not consistently anyway.
I've noticed it frequently in Wiltshire, Somerset, and on the M4. The left-hand lane develops a groove due to heavy vehicles sitting there, which then collects water when it rains, so you have effectively a little stream there.
Tog Hill, on the A420 out of Bristol used to have a real problem with this, to the extent that driving up it in heavy rain one night, my mate, who was driving, couldn't figure out why his engine kept revving when he tried to accelerate; it dawned on us that he was aquaplaning going uphill because of the volume of water running down what were two gutters in the carriageway, formed by heavy lorries, his tyres just spinning on the water. The next lane is perfectly smooth. (There are two lanes going up, one down, and the surface was improved a while back).
It's also noticeable along Hungerdown Lane, (the old A350 trunk route from north to south) which I have to use to get home, where a groove formed just in the place where you naturally ride a bike, so you find yourself sitting in a trough of filthy water.
Or used to, until a cycle lane was marked out, which forced the traffic outwards, slightly.
Surface erosion is also noticeable where vehicles tyres naturally sit on the carriageway.
Certainly not an urban myth when you can see and feel the effects while driving and riding roads you use every day.