Bowing down is bowing down. It can be objectively observed.
Yes, but you said that the word "image" could be translated "idol" based on that same link you provided, which also said "bowed down" could also be translated "worship" or "serve" - not necessarily "bow down".
Just using your own logic and links for changing "image" to "idol", it is just as valid to change "bow down" to "worship" or "serve".
Both of those changes are actually shown there at your link you provided.
(In other words, what's sauce for the goose is sauce for the gander.)