Most satellite systems don't use leap seconds; you don't need leap seconds to have satellites. And leap seconds don't really "sync time with the earth"; that's not how any of this works. Whether it's now 13:04:00 or 13:04:27 is somewhat arbitrary and all leap seconds do is maintain a certain arbitrary definition.

Orbiting around earth is going to be based on sidereal time, which drifts 4 minutes per day.

Converting into normal units has no reason to care about leap seconds when it can use the actual offset and be a few orders of magnitude more precise.