I apologize if I was unclear ─ by 'objective existence' I meant existing in the world external to the self, which we perceive with our senses ─ 'nature' is another name for it.
If God is real then God is real in that sense, since that's what 'real' means.
You were Not unclear, but I took the liberty as to objective as to also be God's objective existence for our benefit.
To me ' perceive with our senses ' includes our minds, processing with our minds and brains.
To me, nature is in harmony with God's objective for Earth, for nature.
We see nature, we hear nature, we smell nature's food/flowers, we can taste what nature produces (yum honey).
Honey reminds me that Scripture speaks of a land flowing with milk and honey.
Also, back in ancient Israel there were lots of forests .
( and 'flowing with milk and honey' would indicate a large bee population and livestock. )
Isaiah 30:23 speaks of a coming 'day' that our livestock will feed in large pastures. ( love those dairy products )
And that we will even dwell in safety, even safely sleeping out in the woods /forests - Ezekiel 34:25
Yes, the Bible's God is external to self, but we can perceive Him with our senses / nature.