Miniatures really don't need to be grown budded, especially the Ralph Moore miniature roses. The roses he selected for introduction were roses that grew well own root and he introduced over 700 roses to commerce during the years his roses were in commerce. All of the other miniature roses and many of the European miniature roses were based upon his work.
Steve ... as we discussed before, I think your problem with your miniature roses is that they have not been getting sufficient water.
Climate as well as all of the other variables that impact larger roses, do impact miniature roses, but they are tough plants and are survivors.
I haven't uploaded a lot of full plant photos to the NGA. When I have time I will upload more. However, here is a photo of 'Green Ice' that I took before the first flush that I have growing in a container in full, hot sun with reflected heat from a wall behind the plant. It started out as a 4" band.
When miniature roses are sold as "bands" all you are buying is a rooted softwood cutting. If you were to propagate any other plant in your garden yourself as a softwood cutting, once the roots took, you would probably pot it up to grow a larger root mass to where you felt comfortable planting it out in your garden. You probably wouldn't take a small cutting and plant it out right away and expect it to thrive. Of course, that depends on your soil, climate and all of the other variables in your garden.
The nurseries selling bands aren't telling their customers that they are just selling rooted softwood cuttings because people expect to be buying rose plants. In the US, because people were used to buying budded roses, they have an expectation that they will have immediate gratification when they buy roses. That doesn't happen when you buy small cuttings.
The strange part is the average gardener has different expectations when they buy small plants of other perennials. They know they have a young plant and may need to pot it up and grow it on before they plant it out in the garden.
It's OK to buy minis as budded plants, but it's not required because the only thing you are really buying is a more mature plant. The root stock has been growing in the fields for one year and then the budded plant is grown for another season before it is sold.