I'm surprised. When the QAP menu takes time to show up, this is usually for one of these two reasons: Windows is slow providing the free space info required to build the "Drives" menu or slow to provide the info to build the "Recent Folders" and "Recent Files" menus. The wait time is variable because Windows seems to take more time only occasionally.
Since v9.2, the Recent menus (as well as the Frequent menus) are built from the Frequent Menus Database. This database is updated in the background and does not cause variable wait time because the menus are now built from a SQLite database that should always reply with a stable response time. Question: is your QAP portable installation on a slow device like USB key?