I don't think these terms are very useful for a lot of stuff, and as far as tabletop adventuring and role playing games go most would fit into all these categories or none. I like where you are at with aggregation though!
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That would be something pretty dependent on play style which is unique from table to table. As far common language game terms are defined 'strategy' has a pretty clear meaning at the table and in computer games. Likewise, I can see some utility in calling D&D a dice game, but it is nothing like another dice game I love which is cee-lo.
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