No - There are no solids flowing through the drainage aggregate. Additionally, the drain cover should not be used to conceal roof drains, as leaves and debris can cause clogging.
No cutting is required on a random size wall. Simply fit the drain into wall geometry. For Ashlar style walls, some cuts may be required to correct bond lines.
4" NDS or ADS pipe fits perfectly inside the 5" cover. If using the 6" cover, the pipe will be placed at the bottom, allowing 2" of aggregate to fill the remaining space.