When there is two-way Love, The Apophatic God manifests as a Cataphatic Person in the devotee's heart. This however is very rare. When God does this, how much more God reveals to the devotee is up to Him and Them.
Obviously a devotee only cares about what they need to know, and does not break their head over how universe works or bother to do any thought-acrobats to go beyond thought. They simply bask in His "sunshine"
So, I will say , God does have a Cataphatic aspect, and is known only to the extent God has revealed Himself to this being.
ye yathA mAm prapadyante tAmstathaiva bhajAmyaham. Google this Bhagavad Geeta half-shlok.
Your answer is so directly true for Theism as a whole. God ultimately impersonal because it is Reality itself (which in Hinduism transcends Maya, as Brahman. In Abrahamic religions, it transcends deity all together and has no singular name, so I can't even say what the Abrahamic God is even 'called'.), in the Abrahamic religions it's expressed with far more sacredness because their traditions result from self-revelation.
In the three Abrahamic religions, God is not the thing that walked around in the garden, God is not the Burning Bush, God is not the blinding light on mount Sinai, God is not the man on the chariot or throne, God is not even Jesus......but God symbolically reveals itself through these images.
Basically, the Abrahamic revelation of Monotheism was that Reality itself is God.
Abrahamism took the opposite approach to Hinduism, as it rejected idols, symbols, deities etc.
I can't say that the mainstream forms of any of those religions (including even Hinduism) really reflect their authentic past but the consistency throughout a very large number of cultures is quite undeniable.
I think you sub it up best with describing that God reveals itself through a Capaphatic aspect