This debate is often controversial because of what the subject is about due to the fact depictions or Iconography of God are usually forbidden. But I will say this, that from discussions from many different groups and people, it seems depictions of God The Son, Jesus Christ, are acceptable, while depictions of God The Father and by extension The Holy Spirit, are not acceptable and sometimes shamed. The reasoning for why depictions of God The Father are usually forbidden are straight forward, That no one has seen The face of Him, and the fact that Christ said "He who has seen Me has seen The Father". In regards to depictions of the Holy Spirit, there isn't much said, and tho while He is depicted as a dove, it should be noted there is no description or statement about what the Holy Spirit, or is appears physically in the Bible. TL;DR: Depictions of Jesus, God The Son, are ok, Depictions of God The Father and by some extension The Holy Spirit, are not and are usually looked down upon.
Example of an icon that would be acceptable: 
Christ Pantocrator in the Orthodox Church of St. Alexander Nevsky, Belgrade, Serbia
An Icon of what would not be considered acceptable:
Icon of the Holy Trinity at Vatopedi Monastery, Mount Athos
LGmusic
I'm Catholic, and I've always been taught that the Father, Son, and The Holy Spirit are all one entity. I think people depict The Holy Spirit as a dove because it is God's spirit kind of working through us, I think it is hard to depict it in general because it looks different in every person. I'm a firm believer in finding God's will in the mundane, just like how Jesus came in humbly, I think The Holy Spirit works in ways that are sometimes not always obvious.
Back to your question,
Where I was raised, I wasn't ever really told depicting God, Jesus, or the Holy Spirit is necessarily "wrong" I just think maybe the negativity stems from the art obviously not actually being a representation of God etc. God is not a bearded guy floating in a cloud, but rather I like to believe he is the love and goodness in the universe, and it is simply impossible to see that tapestry in its entirety. I don't think its like spiritually "illegal" to depict God or The Holy spirit, and honestly God made the artists who made that art, so I suppose its our simple brains trying to depict him in our own special way.
I think it is easy to get lost in semantics regarding the bible, but I always like to remember that Jesus said "above all these is love". I think as long as this is our goal, we are on the path to righteousness.