My personal view :
Dont think it is the right way to interpret the visual gap!!! We tend to graviate towards your interpretation mainly becoz most of the recent Gaps have been such as described by you.
But Saint does not prescribe it this way!!!
Just have a look at the recent charts posted by Saint after making minor adjustments in the rule!!! Look at the short taken on 3rd July, to me it is clear that the short was taken because there was a visual gap!!! The gap as you will notice was not beyond the previous days range, in fact in this particular case the price was within the 3 PM bar but there was a BIG visual gap between previous days close and next days Open!!
Even in the charts posted earlier buy Saint I remember noticing the Gaps were as described by Saint : Visual!!! Only the rules for trading the Gaps have been amended not the Gaps!!!
Praying that my view is correct!!!