The parents would desire their child to be baptized, and would do so if they had the chance to do so.
Garbage. BoD is
ex opere operantis and cannot be applied vicariously. This is affirmed repeatedly by Church teaching which states, in various ways, that the Baptism of children cannot be delayed as the only remedy for them from Original Sin is the Sacrament of Baptism. This is clear even in the passage from the Catechism of Trent that is cited as being evidence of BoD. Otherwise, there's no particular danger in delaying the Sacrament as long as the parents intend to baptize the child. Finally, BoD requires not only some intention to receive the Sacrament but also an act of supernatural faith, perfect contrition, etc. It's only through the Sacrament that supernatural faith and charity can be (passively or
ex opere operato) infused into the soul. Those who are the most ardent proponents of BoD here on CI will admit this.
From Catholic Encyclopedia:
We have rendered votum by "desire" for want of a better word. The council does not mean by votum a simple desire of receiving baptism or even a resolution to do so. It means by votum an act of perfect charity or contrition, including, at least implicitly, the will to do all things necessary for salvation and thus especially to receive baptism.