It depends on the Church. In my past, I attended a Greek Orthodox Church, and they DID kneel at certain times...I can't remember which, it MAY have been after the priest circles the room with the mysteries while the people sing the Cherubikon. Also, the Greeks are latinized more than they like to admit, as are some Russians.
The Greek Catholics typically do not have any other kind of devotion to the holy mysteries other than at the Divine Liturgy: However, it should be noted that they CLEARLY adore the mysteries before receiving them.
Yes, one of the first things I noticed about Vatican II and the CCC is the radical shift in Emphasis from Scholastic Understanding and terminology, to a modernist TERMINOLOGY, and an ATTEMPT to approach an Eastern mindset, which is typically one of "communion." However, such hybridization does neither of the Churches any favors.
A good example of this is original sin. In the East, Original sin is not the stain of sin we are born with, and the objective guilt we all have inherited from adam from the moment of our conception. Rather, it is "mortality" and "infirmity" and "Sickness of body and soul." The EFFECTS of original sin are death and mortality and infirmity. But, for them, we have no participation in Adam's guilt, for it belonged to HIM ALONE to sin, and therefore, the guilt is HIS ALONE.
Obviously this leads to pelagianism and semi-pelagianism.
It is for this reason that the Orthodox deny the immaculate conception: For NONE are born with a stain of guilt. Therefore, Mary was conceived positively holy, and full of grace, yet she was not at the same time, conceived free from a stain of sin, because they ACKNOWLEDGE NO SUCH STAIN.
On the contrary, because the BVM DIES they see her as subject to the effects of sin, which are corruption. Therefore, she must have been in bondage to sin, or at least commited a slight sin, of some type at SOME time.
My point is that the CCC espouses this view of original sin, and it is manifest that the Vatican is finding multiple ways to be more "eastern" for the sake of the Schismatics and heretics.
"Orthodox" my foot.