Thanks for the feedback Michelle, very useful. I opted to call it weight because I personally think that "estimated cost to target" is rather verbose, but you're right it's more accurate. I think I also conflated the sense of "cost to target" and the impact of the metadata which could be potentially more confusing.
In particular, it is important that this variable only contain probable values, not known ones - so I found it a bit strange that you added the known danger of the cell to this, rather than the cost. Further, you seem to be only adding the danger of that cell, rather than the estimated total danger remaining.
Perhaps I wasn't clear in the post but the goal is to add the estimated cost to target and estimated danger of a cell when calculating the h-value.
Anyway, I'll have to dig around and find that article you mention and thanks for your thoughtful response!