Only the Canon service centers can extract that info from EOS cameras. Live View actuations are not reported via the remote control interface. Your EOS 5D Mark II falls into the group that allows the remote control application to access the camera's shutter count for still images taken with the camera. For more detailed information about specific models, please see this page at dire studio's website. None of the models released since early 2015 with DiG!C 6/6+ or later processors allow the shutter count to be accessed without the proprietary tools used by Canon service centers. The EOS 7D Mark II is the only DiG!C 6/6+ camera that allows shutter count access via the remote controlled interface officially supported by Canon's SDK (software developers kit). This includes all DiG!C III, DiG!C 4, and DiG!C 5/5+ cameras.

The remote control interface may also be accessed via WiFi connection for cameras so equipped with WiFi capability. The shutter count from EOS cameras with DiG!C III and later processors up to cameras released by the end of 2014 make the shutter count available through the remote controlled interface that may be accessed on the camera via a USB connection. This is mainly because the shutter count is not included in the EXIF information of images made using EOS cameras such as is the case with some cameras from some other manufacturers. There are no online applications of which I am aware that work to give a shutter count for an EOS camera.

Online shutter count canon 5d mark iii