I think you're over complicating things a bit.
While marks appear to be tied to your persona, your persona is a visual/icon reference. The mark is AFAIK actually tied to the device (commlink or deck) which generates your persona.
In order for your device to be able to access the Matrix is must be recognized - some sort of 'grid mark' like a current day IP address (this is not spelled out RAW anywhere that I know of - but we had a big discussion about it a few years ago and from what I recall this was the general consensus). This 'grid mark' is what is used to trace the device. It is normally fixed, but a hacker can rig the device to make it so that the 'grid mark' can be erased and overwritten. This is the basis for the 'reboot' action - it is not just turning the device off and back on again (such actions must happen all the time as they do today and the legal user does not expect to loose control of their microwave just because their phone ran out of power). The decker sends a command which wipes the 'grid mark' from the device - when it next tries to connect to the matrix the device appears to be a new device and is assigned a new 'grid mark'.
This is also why you lose all your prior marks if you reboot - the marks still exist, technically, but point towards a device which (from the matrix's point of view) no longer exists.
So you hack the device, hit it with the Reboot program to invite a mark to a secondary deck/burner link, then reboot your own deck to lose any Overwatch Score you may have generated. You can now access/control the device as normal using the secondary deck/burner link without generating OS. Rinse and repeat as often as needed.
Should someone become suspicious that a device is not functioning correctly there is always the chance that a security spider might check the device's permissions to see who is giving it commands, see the marks that are not on his own list of who is supposed to have access, and then trace the device giving the commands...so it's not entirely without risk.