My R3 & EF 400 f2.8 IS with the Canon adaptor does this as well and drives me nuts. I’ve spent hours trying to find info on this online and YouTube, but no luck. I guess I should’ve asked here.
I guess we’re stuck with it if we want IS while simply looking through the view finder. What bothers me is how long it keeps buzzing when it’s not needed, usually on a tripod. Wasteful wear on the IS and batteries.
You can turn it off
either with the lens switch
or camera menu--if you don't want it on while using a tripod.
But remember to try ECO Mode for quick time outs, which stops the IBIS. Startup time is virtually instant when you press the shutter button or most other control buttons.
In theory, what you say is reasonable; however, in practice the characteristic you describe makes little difference to battery life or IBIS wear and tear if you are properly managing things, something which quickly becomes second nature.
As I mentioned previously, if the power issue is important to you, be sure to choose an EVF option that doesn't include having the proximity sensor constantly active. This keeps the camera from staying on all the time. Of course, in a studio, with the camera placed down when not in use, you wouldn't need to worry about this at all.
EDIT: Caught mistake regarding menu option for turning off IS.