Yes and no. Export Calendars Pro uses a dedicated application programming interface from Apple to access calendar data. Only calendars and event properties supported by Apple's Calendar app can be exported with the app. As a consequence, the app works with BusyCal only to some degree:
Most likely, the "wrong" time zone (almost always GMT/UTC) is tied to those events, presumably without your knowledge. Often, there is also no time zone set in the event. Apple Calendar assumes GMT then and passes this to Export Calendars Pro.
Solution: In your Export Calendars Pro export template, open the format menu for every date/time and set the time zone mode to "Use current time zone".
Hint: If you want to check or edit the time zone for an event in Apple's Calendar app, time zone support has to be enabled. Choose Advanced > Turn on time zone support in Calendar's preferences.
On OS X 10.11 El Capitan or newer, the app supports delegated calendars (shared calendars that are listed in the "Delegates" section in Calendar.app).