What this involvesWhat a proper prune actually involves
Pruning keeps the tree in place while dealing with the branches that are causing the problem.
Pruning is selective tree work. Each cut should have a clear purpose and come back to a suitable branch junction, rather than topping the canopy or stripping it to bare poles. The aim is to deal with the problem without wrecking the rest of the tree.
The quote should be clear about the result you want and where the branches need attention. If the tree needs a much heavier reduction, lopping or removal may be the more useful comparison.