No and yes, in that order.
One of the main uses for roses (and other flowering plants) in a forest garden is to attract and encourage pollinating insects. The best flowers are those where the nectar is easy to access, so single blooms (like those on the Austrian Copper Rose) are preferable to double blooms (like those on the Theresa Bugnet) for two reasons.
Firstly, double blooms prevent insects getting to the nectar easily, and secondly petals have markings on them only visible in the ultraviolet spectrum (i.e. visible to insect, invisible to us) which act as targets or landing strips, telling the insects where to go for the nectar. The mass of petals in a double flower makes these markings confusing, so while an insect will initially be attracted by the scent it won't be able to find its way to the nectar. Some double roses do open up
enough for this not to be a problem, but in general it's best to stick to single-flowered varieties.
Make sure you check the roses thoroughly for any sign of black spot, as the Austrian Copper Rose is particularly vulnerable.