Question: Luke III vintage tremolo – moving

I have since some weeks a new Luke 3 guitar with the vintage tremolo. I’m really happy with this guitar. I still have some questions regarding the tremolo…
The setup of the tremolo has not been changed and came setup as floating from my local store (guess original factory spec).

When bending a string I see that the tremolo is moving too (upwards away from the body, most effect when bending on G string). Guess this is normal as the tension is increasing on the string while bending. But wanted to be sure if this is a ‘known’ behavior?

Secondly I also notice when I really dig into the G string I hear the tremolo moving effect (vibration in tone)

Are these 2 things normal with the original factory setup?

Thanks!