I accept that overhanging trees need to be inspected regularly for safety.
Ivy is not a parasite and grows from its own roots using trees for support by clinging to the trunk and branches, as ivy keeps its leaves in winter it can put a strain on old or diseased trees when there are strong winds.
Ivy is an important asset to wildlife with its berries for birds and flowers for insects especially when there is little else around It also provides places to shelter and roost and is useful for overwintering butterflies.
Roadside trees can be adversely affected by gritting with salt and the tarmac restricting natural root growth.
Trees and ivy have existed together in their natural surroundings for hundreds of years.