I can teach a parrot to say “I am a dog”. I have friend with a bird that imitates the sound of a telephone when his phone rings. If the bird regularly repeats these sounds but does not understand the meaning, is that worship?
If it is, why would any religion want and need that kind of worship?
If someone wants to do it and finds comfort in repetitive actions like chanting, meditation, davening, bowing, etc. they are free to do so. That is their right, as long as they do not expect others to do the same.