Water collects near leaves or a slow outlet
Visible debris and weak discharge justify checking for an obstruction, but neither tells you the entire route is blocked. Ask the professional to distinguish material in the channel, restriction at the outlet and a problem farther down the downspout. After documented cleaning, a remaining pool needs another explanation rather than repeated cleaning assumed to be a complete repair.
Notice next: Record the location of visible debris from the ground and keep the cleaning report, including which outlets were checked.