Hi Jeremy,
This should work; we've just tested it. I suspect the issue might relate to how the customized Timelapse is being started. Could you try starting here: saillogger.com/timelapse/customize?
The Timelapse should display the same way in the recording as it does on-screen. However, please note that customizations you do on the map itself after the Timelapse has started (such as changing the base layer or zooming in) may not appear in the recording, that is expected.