If this should happen to you- Clearly you are having a day that no approach plate writer foresaw.
Fly your aircraft and do your best. No plate can help you.
When weird stuff happens-and it does. You will get ZERO help from books or plates.
Instead of worrying about unlikely (in fact, so unlikely that it will probably never happen to anyone) **** like this, learn to hand fly your a/c to a good standard. Or do some other useful work.
Either that, or..................accountancy!
Remember. The books are there so the company can kick your ass. If you think they are there to help you? Think again...it's not the whole story.
On reflection, I suppose your hypothesis could have some value in the SIM.
But do you think, it could ever happen in real life? And realy.................is it ever likely to GETCHA!