A feature like this would be very useful in the context of aggregations. Remember when you want to "refresh" an aggregation: You have to hit the "play button" again. However, any configured column width is then lost because it is a new window. So every time you want to re-evaluate the result of an aggegation you have to do the work of changing the column width again. This is especially the case when you have a text field which contains a longer string and it is almost in everycase to long for the default case (I have a capped collection I use for logging)

A corollary to this is to enable automatic column sizing to match data width for each column.