Main roots like to grow to the north. When transplanting I always try to place the plant roots in the same north/south direction.
I have all my new daylilies growing in plastic pots and the soil does get warm even though they get periodic shade from an overhanging tree branch.
And the pots are close together so the plants tend to shade each other's pots. (Plants from Trimmer's are so bushy that they shade the entire pot.)
But I'm thinking of moving my pots to the east side of the house where they'll get morning sun and afternoon shade.
I'm new to seriously growing daylilies, but I've been growing plants all my life.
Want to add too that I have some old dormant daylilies that I stuck in pots years ago to keep track of them...I was afraid when they went dormant they'd get lost with all the other stuff growing here. So they have lived for years, uncared for in pots, but they did get some shade from other plants (don't think they got watered much either). Now they are in different pots, getting attention and doing great.