Yes the ripple is because of that. I'd expect the feedback to track better the output voltage than that or at least I'd like to be able to understand the tradeoffs I can do to get a more reactive supply.
I can't post everything but I can complete with the connection of the feedback to the IC :
Ok, but you should understand that pulse skipping/burst mode is a good and necessary thing. As the load decreases, an LLC typically increases its drive frequency in order to reduce output power. In theory at zero load the converter would have to drive with infinite frequency to maintain regulation, which of course is infeasible. The converter has a minimum load it can regulate, and when the actual load drops below that point it must turn off entirely for a little while. It leads to increased output ripple, but it's preferable to losing regulation entirely.
So what specifically is wrong with the behavior in the first post? The ripple already looks quite low (4Vpp on a ~180V output is low IMO). Or is it generating audible noise that bothers you?
In simple terms, the amplitude of the output ripple in skip mode will be the skip pin hysteresis (45mV) divided by the gain of the feedback chain from Vout to the skip pin at the skip frequency. Though messing with that feedback network risks affecting stability when operating at heavier loads, so must be done carefully. It would be nice if the NCP1397 provided a convenient way to change the skip pin hysteresis...