This is the exact same situation I am in. I also get less engorged from the least favourite breast. Sometimes he feeds from it ok and other times he screams until I switch sides.
I think my left breast (his least favourite) has a slower letdown so I do compressions to try and speed up the milk flow. If he feeds from my right then I always offer the left after, sometimes he takes it, I think it's because he is calmer and not as hungry so doesn't mind working for it.
It is totally normal for LO's to have a preference though.
I notice your close by too
always good to have another Scottish BW