I would not say up to that extent though.

Even though in Catholic worship, that is the mass, there is no bowing to statues, as none is involved and therefore there is nothing in GIRM about instructing you to bow before statues, there is indeed one that I can think about. That is the veneration of the wood of the cross in Good Friday service.
Referring to the poster who witnessed Catholics bowing to statues, well, probably that was the one - the veneration of the cross. That was done once a year and if that poster witnessed this and said Catholics bowing to statue, he was probably what we call a ‘Good Friday Catholic’. There are Catholics who would only come for this type of service or mass - once or twice a year.
If anything I would say that ComplineSanFran did not go far enough. After my decades as a priest, I have seen people bow to a statue, bow to the side altar where the statue is enshrined, kneel before the statue, kiss the statue. It is rare but, yes, I have seen a person prostrate themselves before the statue.
I was once in the church tidying up after Mass and a young woman came in, walked up to our shrine of the Blessed Virgin, and sang the Ave Maria of Schubert and then turned and promptly walked out…it was impeccably sung and I am sure she had to be a professional because of how she sang it.
I have also seen people light candles before the statue. When I was at our Marian shrine, I spent a couple of hours a day creating floral arrangements out of bouquets of flowers that people would bring as a tribute to the Madonna. Also processions with statues carried by an honor guard. It also needs to be articulated that in various cultures, the use of sacred images is more or less extensive.
There are even moments in the liturgies of both east and west when the sacred images are incensed.
Most of these things I have done personally. Even on a regular basis.
Now it must be said that I can also explain the legitimate theology behind each of these actions. They can be perfectly appropriate manifestations of piety. And when I am instructing those becoming Catholic, I do explain it in detail. And I also specifically say that there are moments when it can seem that the image really is the object of the attention and of the affection in spite of what the Church articulates and practices. And, frankly, there are moments when it very well may be because of the level of the person acting. When we have a May crowning and the children are offering their crowns to the Blessed Virgin, whatever has been said to them, I cannot say that a six year old child has truly and perfectly understood and can unerringly relate the subtle nuances I have tried to articulate here anymore than I can have an exhaustive discussion with them about the fine points of transubstantiation relative to the Eucharist.
The theology that underlies the veneration of sacred images is given short shrift when one simply compares it to the photograph of a loved one. Such an approach also hardly does justice to the issue the Church, especially in the East, confronted with iconoclasm. One does not normally light a candle, decorate with bouquets of flowers, and otherwise venerate photos of family members in the way that happens with icons and statues. A community reacts differently to a blessed and installed image at the church being desecrated than we would to a photo of the bishop being destroyed. The theology of icons, particularly, is a very rich one, more so than our practice in the west.
The sacred image is certainly not worshiped. This must be clearly said. The love and veneration for the Blessed Mother or the Saint or the love and adoration for Christ are for them – and the image is a tangible thing which allows us to have a contact with and to make an expression to who the image depicts although the image is in no way them.
This is simply a very alien concept to those who are not familiar with this aspect of the use of sacred images…be the observer Jewish, Muslim, or various non-Catholic/non-Orthodox Christians – and that simply has to be acknowledged and our actions explained in cogent terms with concepts that are understandable. That it is legitimate and that it is explainable…yes. That someone can intuit what is happening and put the experience into a proper framework unaided? No.
To such non Catholic/non Orthodox who would see these actions, I have no doubt the gestures they see could cause wonderment and misunderstanding, based on where they are coming from. Just as Catholics accustomed to the
vetus ordo Mass would be taken aback by a sudden expression of glossolalia in Pentecostal worship or a Catholic charismatic movement prayer meeting.
Among the things said that are correct: For the occidental Churches, the images should not be venerated DURING Mass, apart from the Good Friday liturgical celebration. Images, apart from venerating the Cross on Good Friday, should not be genuflected to, although there is a variant rubric on this issue relative to the
vetus ordo