So - taking the questioning one stage further - how do you know they had a deadside?
If this place was an 'international' airport as you describe it the chances are that there would be no laid down circuit direction - they would all be by ATC instruction. (Notwithstanding many places have circuits to only one side, it doesn't stop them joining traffic and using both sides of the circuit).
So - if this is the case your crossing the centreline could have put you in direct conflict with traffic joining the other side if it had been just told to do so by approach - before you switched back to approach to inform them of what you'd done.
Bearing that in mind - option 2 would have been better (but not knowing where the place in question is means that you won't get a definitive answer).
CM