Hello Echo,
My parents had a row of cordon fruit trees - apples and pears - as a dividing screen in our garden. I don't think that the pollination requirements will be different for a columnar trained
apple as opposed to a bush or free trained tree form. Normally you need another tree with close flowering times, although some apples will set some fruit without a partner, you normally get more and bigger fruit if the flowers have been pollinated. If you have other apple trees in your vicinity (either cultivated or crab apples) that may be
enough to pollinate your apple. The closer the other
apple tree is in time and space, the more likely they are to pollinate each other.
here is a table for pollination groups for UK apple varieties. You
should be able to find something similar for your region of the US (I suspect flowering timing may vary in different climate areas). I personally wouldn't buy trees from someone who couldn't advise on basics of cultivation like that.
As regards the
root form, I'm guessing a bit, but the rootstock is what makes the tree less vigorous (which is what is required for a cordon or columnar form) therefore the roots will be stunted compared to a more vigorous tree. They will still radiate in a circle unless constrained by a wall or similar. That used to be how orchard trees were restricted in size before rootstocks were standardised - the trees were planted on a layer of rubble to restrict their roots and stunt their growth, thus favouring early and heavier fruiting.