We have company notams for a couple of ports around Asia for the Airbus fleet advising the crew that the FM database ILS is coded for Y or Z. Just so we can match up the waypoints to the correct chart.
Other than that it's up to you which one you chose to fly as the initial approach and missed approach are generally the same..
HOWEVER some Japanese ports ( and maybe others ) clearly specify on the ATIS which ILS they want you to fly as some of the procedure is different.
"Expect ILS Y 16R, using Runway 16R....." Is usually what you hear on the ATIS.