Yes, “real” is the most realistic qualification.
ALL if not most theists believe God to be real to the extent of sending his messages and commands via messengers and prophets, listening & answering the prayers of believers, created the Universe, etc.
Even pantheists believe God to be real in one sense but is indifferent to the world in another.
It is insignificant and not critical to prove God is an impossibility to be a false, fiction, imagination, and anything else unreal.
Surely no theists would want to believe in a God that is unreal??
Therefore the explicit and implicit qualification for any God [believed by any theist] is that it must be a real God.
As a counter I have proven ‘God is an Impossibility to be Real.’
Since God is an impossibility to be real, the question of a real God is a moot, i.e. a non-starter.
However, one can still think of an unreal God for various reasons, especially for psychological reasons to deal with an inherent existential crisis, where it really works to relieve existential angst subliminally.
My point is, where theists believe in a God they have to understand they believe for its psychological reasons & benefits and they cannot insist such a God is real in a realistic sense.
The already proven dangers of believing ‘the theistic God is real’ is when such a real God is believed to deliver commands to believers to kill non-believers as a divine duty and carry out other evil acts against non-believers.
If God is understood to be only a thought and not real, but only to relieve an inherent unavoidable existential crisis psychologically, then a belief in God will be confined to be personal and private.