They will be replaced. Each bud has 2 or 3 'eyes' as a natural defense against damage or frost. As in most aspects of gardening, preparation of the planting site utilizes more than half of the effort expended, but it will produce twice the results. Place the newly-trimmed plant over the cone of soil, gently speading the roots out over it. Position it so that the bud union is at the proper height, by pushing the plant down slowly on the cone, taking care not to break the roots.
Much discussion occurs among rose-growers as to the proper height to plant.
In hot climates, protection from heat and sunburn dictates placing the bud union just at soil level. Holding the plant in position, filter loose soil down around the roots. Begin filling in the rest of the hole, pressing the soil down firmly enough to avoid air pockets but not enough to compact the soil and damage the roots. When the hole is half filled, water with half of the soaking solution and let drain. Then fill the hole to soil level and form a water well around the plant of slightly larger diameter than the root system.