There is a difference. Hybrid tea and grandiflora roses were bred to be excellent cut flowers for the home. They bloom on long stems, and last well once cut. However, the rigid and thorny plants that produce these excellent blooms are realistically not much to look at. Floribunda, polyantha and climbing roses are more of a compromise with less ideal (perhaps) flowers on friendlier plants.
Conversely, bearded iris are spectacular while blooming out in the garden, but do not last so well as cut flowers. As colorful as they are, they perform best while still attached to the plants that produced them. Fading flowers might be groomed away from flowers that continue to bloom later, but are not a serious problem if allowed to linger. The garden is more forgiving than the home.
Where space allows, rose gardens or cutting gardens are areas devoted to the production of flowers for cutting and bringing into the home. Like vegetable gardens, cutting gardens might be hedged, fenced or partly concealed from the rest of the landscape. No one minds if the utilitarian plants within get deprived of their flowers, or need to be staked or caged like big tomato plants.
Taller and bulkier varieties of dahlia, delphinium, lily, Peruvian lily (alstroemeria) or sunflower that might be to big and awkward elsewhere in the garden can be right at home in a cutting garden. Compact and more prolific varieties of the same flowers work better in more prominent parts of the garden, and if prolific enough, can also provide flowers (although less spectacular) for cutting.
There are very few rules in regard to cut flowers. Many of us bring in bearded iris or daylily, even though they may not last more than a day. The buds below the flowers might bloom afterward. Blooming clematis vine, nasturtium (on or off stem), lily-of-the-Nile, zonal geranium, bougainvillea, bottlebrush, crape myrtle and even flower stalks of New Zealand flax, are all worthy cut flowers for anyone wanting to try them, especially if the garden provides enough to spare.