Yeah, although there are two kinds of scaling with volume that might be confused here. The technical term is that with identical particles entropy is an “extensive” quantity. It might actually be a great idea to add extensive vs intensive as properties into your chart. See Wikipedia for details on this and a chart of different quantities in thermodynamics that are extensive or intensive (https://en.wikipedia.org/wiki/Intensive_and_extensive_properties).
An extensive property like entropy doubles when you double the system size in a certain way. The way you have to double it is to double both the number of particles and the volume at the same time. For example if you ask what the entropy is in half of a room full of gas, it should be half of what it is for the full room, unless there is something weird about that specific half that’s different from the other half.
A different kind of scaling with volume would be if you hold the number of particles fixed and just change the volume. For instance, if you had a gas in a certain size container, and then you made the container twice as big (increasing the volume) but still had the same number of molecules in it. That’s not going to double the entropy.
I gloss over this a bit in my post to simplify the discussion, but since you asked about it I figure it is worth clarifying. Another simplified (perhaps better) way to say it is that entropy “scales with system size”. For large systems of identical particles.
