Typical European work

So I’ve found out a little bit more on the potential euro work, extra money, length etc etc but 1 thing that was said to me was,

During any weekly rest periods, 24/45 I wouldne get paid as that would mean the company would be “responsible” for me, I presume my safety or maybe something else…

Now, does that mean if they wont be paying me, I am no longer responsible for the safety and security of the vehicle, trailer and load.

Or am I just clutching at straws and that’s the norm for not paying.