When my older daughter was a baby, I used to enthusiastically encourage her to ‘wave hello and bye bye‘. However, I noticed that when I would say, “Wave bye bye’, it would startle her from her natural state of just ‘being‘. She would wave, but it wasn’t sincere and sometimes she would go all shy on me or flat out refuse… Most of the time, she just wanted to be a fly on the wall, happily observing the situation, with little, to no interaction. So, I stopped asking her to wave.
The same reason I stopped asking her to ‘wave hello and bye bye‘ five years ago, is the same reason why, now, I don’t make my kids say ‘please’ or ‘thank you‘.
Asking a child to say or do something unnatural, in a social context, breaks them out of their nature, which is to just ‘be‘.