This is one place where I prefer the "real life" and the online versions should diverge and separate from one another.
My experience is that the hole can be VERY difficult to see in most cases. (Sadly I am not landing every approach within 5 feet - often it is more like 15. Or 50.)
That being the case, I like it the way it is - only on a small majority of shots do I "Remove" the Flagstick.
If the default changed, I would have to click "Replace" Flagstick probably 75-80% of the time - needless clicking that I do not have to do right now - and would prefer to avoid.
That's my 2 cents in respectful disagreement with your idea.
Regards, AtlantaCoaster