Time differences never make any difference to mine (although of course you might come on a day earlier than later than you expect if there is a massive time difference (so you actually starting the day you expected to at home but on a different day where you are).
But after 16 years on the Pill I expect you don't know what your cycle is so you are unlikely to notice any difference!
I came off the in April after being on it for 10 years. I had perfect 28 day cycles right from the off. However I was a hormonal mess. Very frisky, sick in the mornings and anxious. After that, just straight cycles.