Yes, plus Paul people look only at uppers sometimes but all the great South East cold spells with big convective Easterlies had low heights, if you only have shallow heights you will end up with light flurries / scattered showers more often than not, all the great events had one thing in common, close to 520dam heights or even below, the surface pressure was around average in most cases and even above in some.
Although having said that, the above variables are linked of course, I really like this table which was posted by Sebastian I think in the model thread, I had it before but my computer broke.