God is real to the person who is convinced god is real. Seems you can't ever extract God from the person because if you do, God will cease to exist.
I had those same experiences when a Christian, and discovered that when the experiences rises, runs it's course, and passes, so does God also. Such experiences remain with the person and nowhere else.
Yes, it's called 'Idolatrous Love', one of the Five Egotistical States known as 'Love of others via Projection of the Ego'*.
But that is the experience of the ego. The mystic recognizes this problem, and therefore, transcends the self. IOW, the experience of divine union is not a personal one, but an impersonal one. The authentic spiritual experience is beyond the self. That is sometimes called Universal Consciousness, or Ultimate Reality. Some call it 'God'. But while it is impersonal, that is to say, not born of the ego, it it is the awakening of the true Self. IOW, our true nature is divine. We are That in reality, while creating a concept of an 'other' we call 'God', or whatever.
*THE EGOTISTICAL STATES
1. APPARENT LOVE OF OTHERS BY PROJECTION OF THE EGO
This is idolatrous love, in which the ego is projected onto another
being. The pretention to divinity as 'distinct' has left my organism and is now
fixed onto the organism of the other. The affective situation [is] that the other
has taken my place in my scale of values.
I desire the existence of the other-idol, and am against everything that
is opposed to them. I no longer love my own organism except in so far as it is
the faithful servant of the idol; apart from that I have no further sentiments
towards my organism, I am indifferent to it, and, if necessary, I can give my
life for the safety of my idol (I can sacrifice my organism to my Ego fixed on
the idol; like Empedocles throwing himself down the crater of Etna in order
to immortalise his Ego). As for the rest of the world, I hate it if it is hostile to
my idol; if it is not hostile and if my contemplation of the idol fills me with
joy (that is to say, with egotistical affirmation), I love indiscriminately all the
rest of the world. If the idolised being rejects me to the point of forbidding me
all possession of my Ego in them, the apparent love can be turned to hate.
from: 'Zen and the Psychology of Transformation', by Hubert Benoit