Mirror assemblies only usually need to be repaired when someone who doesn't know what they are doing messes with them. Most of the time the mirror assembly will outlast the shutter assembly.
At one point in time Canon factory service used the following protocol:
- A first shutter replacement could be done replacing only the shutter assembly.
- A second shutter replacement would only be done if they were also allowed to replace the other components inside the mirror box.
- A third shutter replacement could again be done replacing only the shutter assembly.
- A fourth shutter replacement would only be done if they were also allowed to replace the other components in the mirror box.
- And so on. At least every other shutter replacement was required to also include mirror assembly replacement. If you had the mirror assembly replaced with a first shutter replacement, then the second shutter replacement did not require replacing anything else.
This policy was in force back in the 1990s and early 2000's in the early EOS era. Film cameras, particularly the pro models, tended to be used for longer periods of time than digital bodies do.
I have no idea if that policy is still in place. I've never had a shutter fail in a digital body before I replaced the body for other reasons. (Mainly to upgrade to a newer, more capable model that allowed me to do something the older model did not.)
Regarding your camera's shutter actuation count:
Most EOS cameras that allow third party software to access the "shutter count" and report it to you only include shutter actuations that happened during viewfinder based still image shooting. "Live View" actuations are not included at all.
From this answer to Can't see the shutter count on my canon 5d mark ii
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. The remote control interface may also be accessed via WiFi connection for cameras so equipped with WiFi capability. This includes all DiG!C III, DiG!C 4, and DiG!C 5/5+ cameras. The EOS 7D Mark II is the only DiG!C 6/6+ camera that allows shutter count access via the remote controlled interface. 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. For more detailed information about specific models, please see this page at dire studio's website.
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. Live View actuations are not reported via the remote control interface. Only the Canon service centers can extract that info from EOS cameras.
Note that Dire Studios has since found a way to access the shutter counts of some more recent EOS cameras.