' In the past phasing was altered so permanents that phased out didn't trigger enters the battlefield abilities, but would trigger those on a permanent leaving play. Under the current phasing rules, neither of those two types of triggered abilities will trigger as these permanents do not leave or enter play.

Does phasing in count as enter the battlefield effects?

Phasing in or out doesn't count as an permanent entering or leaving the battlefield, so abilities that look for those conditions will not apply. If a permanent phases out, any Auras or Equipment attached to it will phase out along with it.

Does phase out trigger ETBS?

No. Phasing does not trigger any leave the battlefield or enter the battlefield abilities. A permanent that is phased out is simply treated as though it doesn't exist (unless some spell or ability is specifically looking at phased out permanents).