Hello Jason,
I am not a specialist of these advection schemes.
Anyway, what I can say is PC and LIPS are based on N and PSI MURD schemes. If there is a volume around a node which is lower than a threshold, there is no specific treatment for those advection schemes (in particular if no water). I would expect no better results with PC schemes on tidal flats or dry areas.
Your description seems strange, perhaps you are lucky. :)
I was told that PC is theoretically of order 2 (in practice around 1.7 during convergence tests). LIPS is not of order 2, but is quite less diffusive than many advection schemes of TELEMAC (2D or 3D).
Hope this helps,
Chi-Tuan