Neither of the receivers offer lip sync compensation. Are you sure about the Yamaha model #. It's an older unit with only 5 channels of amplification (5.1). It would require a separate amp for the 2nd zone. If your HT is 5.1, then the rear channels of the Pioneer could be used to power the second zone. Most of the current mid-fi receivers offer this feature. Is the receiver a new purchase, if so, do you have a budget in mind?
None of these receivers offer a sub connection for zone 2. Though you could use the speaker level ins & outs of the sub to add it into the bedroom if you are using in-room speakers. The wiring to do this using in-wall/ceiling speakers would be a nightmare but not impossible.